10111133023313 has 12 divisors (see below), whose sum is σ = 11894086776420. Its totient is φ = 8569306956672.

The previous prime is 10111133023309. The next prime is 10111133023337. The reversal of 10111133023313 is 31332033111101.

It can be written as a sum of positive squares in 2 ways, for example, as 1681215644689 + 8429917378624 = 1296617^2 + 2903432^2 .

It is not a de Polignac number, because 10111133023313 - 2² = 10111133023309 is a prime.

It is a super-2 number, since 2×10111133023313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111133013313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1159263356 + ... + 1159272077.

It is an arithmetic number, because the mean of its divisors is an integer number (991173898035).

Almost surely, 2^{10111133023313} is an apocalyptic number.

It is an amenable number.

10111133023313 is a deficient number, since it is larger than the sum of its proper divisors (1782953753107).

10111133023313 is an equidigital number, since it uses as much as digits as its factorization.

10111133023313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318535536 (or 2318535529 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 10111133023313 its reverse (31332033111101), we get a palindrome (41443166134414).

The spelling of 10111133023313 in words is "ten trillion, one hundred eleven billion, one hundred thirty-three million, twenty-three thousand, three hundred thirteen".