31321100113002 has 64 divisors (see below), whose sum is σ = 84224807043840. Its totient is φ = 8422480700928.

The previous prime is 31321100112997. The next prime is 31321100113063. The reversal of 31321100113002 is 20031100112313.

31321100113002 is a `hidden beast` number, since 31 + 321 + 1 + 0 + 0 + 11 + 300 + 2 = 666.

It is a super-3 number, since 3×31321100113002³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2437053963 + ... + 2437066814.

It is an arithmetic number, because the mean of its divisors is an integer number (1316012610060).

Almost surely, 2^{31321100113002} is an apocalyptic number.

31321100113002 is an abundant number, since it is smaller than the sum of its proper divisors (52903706930838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31321100113002 is a wasteful number, since it uses less digits than its factorization.

31321100113002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4874120812 (or 4874120806 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31321100113002 its reverse (20031100112313), we get a palindrome (51352200225315).

The spelling of 31321100113002 in words is "thirty-one trillion, three hundred twenty-one billion, one hundred million, one hundred thirteen thousand, two".