10013332313113 has 8 divisors (see below), whose sum is σ = 10314231539976. Its totient is φ = 9715131734400.

The previous prime is 10013332313107. The next prime is 10013332313123. The reversal of 10013332313113 is 31131323331001.

It can be written as a sum of positive squares in 4 ways, for example, as 902038359049 + 9111293954064 = 949757^2 + 3018492^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10013332313113 - 2²⁹ = 10012795442201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10013332313123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 674654506 + ... + 674669347.

It is an arithmetic number, because the mean of its divisors is an integer number (1289278942497).

Almost surely, 2^{10013332313113} is an apocalyptic number.

It is an amenable number.

10013332313113 is a deficient number, since it is larger than the sum of its proper divisors (300899226863).

10013332313113 is a wasteful number, since it uses less digits than its factorization.

10013332313113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349324075.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 10013332313113 its reverse (31131323331001), we get a palindrome (41144655644114).

The spelling of 10013332313113 in words is "ten trillion, thirteen billion, three hundred thirty-two million, three hundred thirteen thousand, one hundred thirteen".