131313121313131 has 32 divisors (see below), whose sum is σ = 133705085184000. Its totient is φ = 128948195281920.

The previous prime is 131313121313113. The next prime is 131313121313201.

131313121313131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131313121313131 is a prime.

It is a super-2 number, since 2×131313121313131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131313121313131.

It is not an unprimeable number, because it can be changed into a prime (131313121313111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28245452895 + ... + 28245457543.

It is an arithmetic number, because the mean of its divisors is an integer number (4178283912000).

Almost surely, 2^{131313121313131} is an apocalyptic number.

131313121313131 is a deficient number, since it is larger than the sum of its proper divisors (2391963870869).

131313121313131 is a wasteful number, since it uses less digits than its factorization.

131313121313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9819.

The product of its digits is 1458, while the sum is 28.

The spelling of 131313121313131 in words is "one hundred thirty-one trillion, three hundred thirteen billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred thirty-one".