31101322331013 has 64 divisors (see below), whose sum is σ = 45979973222400. Its totient is φ = 18543097359360.

The previous prime is 31101322331003. The next prime is 31101322331017. The reversal of 31101322331013 is 31013322310113.

It is not a de Polignac number, because 31101322331013 - 2²⁴ = 31101305553797 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31101322331017) 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 63 ways as a sum of consecutive naturals, for example, 471249145 + ... + 471315137.

It is an arithmetic number, because the mean of its divisors is an integer number (718437081600).

Almost surely, 2^{31101322331013} is an apocalyptic number.

31101322331013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31101322331013 is a deficient number, since it is larger than the sum of its proper divisors (14878650891387).

31101322331013 is a wasteful number, since it uses less digits than its factorization.

31101322331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67082.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 31101322331013 its reverse (31013322310113), we get a palindrome (62114644641126).

The spelling of 31101322331013 in words is "thirty-one trillion, one hundred one billion, three hundred twenty-two million, three hundred thirty-one thousand, thirteen".