31132013013001 has 16 divisors (see below), whose sum is σ = 31977584432640. Its totient is φ = 30290627041920.

The previous prime is 31132013012983. The next prime is 31132013013019. The reversal of 31132013013001 is 10031031023113.

It is an interprime number because it is at equal distance from previous prime (31132013012983) and next prime (31132013013019).

It is a cyclic number.

It is not a de Polignac number, because 31132013013001 - 2²⁷ = 31131878795273 is a prime.

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 31132013013001.

It is not an unprimeable number, because it can be changed into a prime (31132013013401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31465495 + ... + 32439811.

It is an arithmetic number, because the mean of its divisors is an integer number (1998599027040).

Almost surely, 2^{31132013013001} is an apocalyptic number.

It is an amenable number.

31132013013001 is a deficient number, since it is larger than the sum of its proper divisors (845571419639).

31132013013001 is a wasteful number, since it uses less digits than its factorization.

31132013013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976464.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 31132013013001 its reverse (10031031023113), we get a palindrome (41163044036114).

The spelling of 31132013013001 in words is "thirty-one trillion, one hundred thirty-two billion, thirteen million, thirteen thousand, one".