10111133013313 has 2 divisors, whose sum is σ = 10111133013314. Its totient is φ = 10111133013312.

The previous prime is 10111133013307. The next prime is 10111133013347. The reversal of 10111133013313 is 31331033111101.

10111133013313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8773011553329 + 1338121459984 = 2961927^2 + 1156772^2 .

It is an emirp because it is prime and its reverse (31331033111101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111133013313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111133013413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055566506656 + 5055566506657.

It is an arithmetic number, because the mean of its divisors is an integer number (5055566506657).

Almost surely, 2^{10111133013313} is an apocalyptic number.

It is an amenable number.

10111133013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111133013313 is an equidigital number, since it uses as much as digits as its factorization.

10111133013313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 10111133013313 its reverse (31331033111101), we get a palindrome (41442166124414).

The spelling of 10111133013313 in words is "ten trillion, one hundred eleven billion, one hundred thirty-three million, thirteen thousand, three hundred thirteen".