131333120101013 has 16 divisors (see below), whose sum is σ = 136285928303616. Its totient is φ = 126426154926720.

The previous prime is 131333120100977. The next prime is 131333120101031. The reversal of 131333120101013 is 310101021333131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131333120101013 is a prime.

It is a super-2 number, since 2×131333120101013² (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 131333120101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333120601013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657745 + ... + 16291542.

It is an arithmetic number, because the mean of its divisors is an integer number (8517870518976).

Almost surely, 2^{131333120101013} is an apocalyptic number.

It is an amenable number.

131333120101013 is a deficient number, since it is larger than the sum of its proper divisors (4952808202603).

131333120101013 is a wasteful number, since it uses less digits than its factorization.

131333120101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17950564.

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

Adding to 131333120101013 its reverse (310101021333131), we get a palindrome (441434141434144).

The spelling of 131333120101013 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, one hundred twenty million, one hundred one thousand, thirteen".