13011313101 has 64 divisors (see below), whose sum is σ = 18683136000. Its totient is φ = 8041017600.

The previous prime is 13011313097. The next prime is 13011313157. The reversal of 13011313101 is 10131311031.

It is not a de Polignac number, because 13011313101 - 2² = 13011313097 is a prime.

It is a super-2 number, since 2×13011313101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011313201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61664886 + ... + 61665096.

It is an arithmetic number, because the mean of its divisors is an integer number (291924000).

Almost surely, 2^13011313101 is an apocalyptic number.

It is an amenable number.

13011313101 is a deficient number, since it is larger than the sum of its proper divisors (5671822899).

13011313101 is a wasteful number, since it uses less digits than its factorization.

13011313101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 13011313101 its reverse (10131311031), we get a palindrome (23142624132).

The spelling of 13011313101 in words is "thirteen billion, eleven million, three hundred thirteen thousand, one hundred one".