10314133120413 has 6 divisors (see below), whose sum is σ = 14898192285054. Its totient is φ = 6876088746936.

The previous prime is 10314133120397. The next prime is 10314133120429. The reversal of 10314133120413 is 31402133141301.

10314133120413 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 413 + 31 + 204 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (10314133120397) and next prime (10314133120429).

It can be written as a sum of positive squares in only one way, i.e., 9843259935609 + 470873184804 = 3137397^2 + 686202^2 .

It is not a de Polignac number, because 10314133120413 - 2⁴ = 10314133120397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314133120483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 573007395570 + ... + 573007395587.

It is an arithmetic number, because the mean of its divisors is an integer number (2483032047509).

Almost surely, 2^{10314133120413} is an apocalyptic number.

It is an amenable number.

10314133120413 is a deficient number, since it is larger than the sum of its proper divisors (4584059164641).

10314133120413 is a wasteful number, since it uses less digits than its factorization.

10314133120413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146014791163 (or 1146014791160 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10314133120413 its reverse (31402133141301), we get a palindrome (41716266261714).

The spelling of 10314133120413 in words is "ten trillion, three hundred fourteen billion, one hundred thirty-three million, one hundred twenty thousand, four hundred thirteen".