31001113121101 has 4 divisors (see below), whose sum is σ = 31001170315104. Its totient is φ = 31001055927100.

The previous prime is 31001113121087. The next prime is 31001113121119. The reversal of 31001113121101 is 10112131110013.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 31001113121101 - 2²⁷ = 31000978903373 is a prime.

It is a super-2 number, since 2×31001113121101² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31001113121501) 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 3 ways as a sum of consecutive naturals, for example, 27776095 + ... + 28870636.

It is an arithmetic number, because the mean of its divisors is an integer number (7750292578776).

Almost surely, 2^{31001113121101} is an apocalyptic number.

It is an amenable number.

31001113121101 is a deficient number, since it is larger than the sum of its proper divisors (57194003).

31001113121101 is an equidigital number, since it uses as much as digits as its factorization.

31001113121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57194002.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 31001113121101 its reverse (10112131110013), we get a palindrome (41113244231114).

The spelling of 31001113121101 in words is "thirty-one trillion, one billion, one hundred thirteen million, one hundred twenty-one thousand, one hundred one".