13011313331131 has 8 divisors (see below), whose sum is σ = 13018932314640. Its totient is φ = 13003695124992.

The previous prime is 13011313331119. The next prime is 13011313331147. The reversal of 13011313331131 is 13113331311031.

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 13011313331131 - 2⁵ = 13011313331099 is a prime.

It is a super-2 number, since 2×13011313331131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13011313331096 and 13011313331105.

It is not an unprimeable number, because it can be changed into a prime (13011313331101) 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, 35164816 + ... + 35532898.

It is an arithmetic number, because the mean of its divisors is an integer number (1627366539330).

Almost surely, 2^{13011313331131} is an apocalyptic number.

13011313331131 is a deficient number, since it is larger than the sum of its proper divisors (7618983509).

13011313331131 is a wasteful number, since it uses less digits than its factorization.

13011313331131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388685.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 13011313331131 its reverse (13113331311031), we get a palindrome (26124644642162).

The spelling of 13011313331131 in words is "thirteen trillion, eleven billion, three hundred thirteen million, three hundred thirty-one thousand, one hundred thirty-one".