31130032011013 has 32 divisors (see below), whose sum is σ = 35621807641056. Its totient is φ = 26949787189248.

The previous prime is 31130032010941. The next prime is 31130032011049. The reversal of 31130032011013 is 31011023003113.

It can be written as a sum of positive squares in 16 ways, for example, as 2288857332609 + 28841174678404 = 1512897^2 + 5370398^2 .

It is a cyclic number.

It is not a de Polignac number, because 31130032011013 - 2⁹ = 31130032010501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130032011053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737709831 + ... + 737752027.

It is an arithmetic number, because the mean of its divisors is an integer number (1113181488783).

Almost surely, 2^{31130032011013} is an apocalyptic number.

It is an amenable number.

31130032011013 is a deficient number, since it is larger than the sum of its proper divisors (4491775630043).

31130032011013 is a wasteful number, since it uses less digits than its factorization.

31130032011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53913.

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

Adding to 31130032011013 its reverse (31011023003113), we get a palindrome (62141055014126).

The spelling of 31130032011013 in words is "thirty-one trillion, one hundred thirty billion, thirty-two million, eleven thousand, thirteen".