31401413002100 has 72 divisors (see below), whose sum is σ = 74637273455640. Its totient is φ = 11414063288320.

The previous prime is 31401413002061. The next prime is 31401413002133. The reversal of 31401413002100 is 120031410413.

It can be written as a sum of positive squares in 12 ways, for example, as 653811319396 + 30747601682704 = 808586^2 + 5545052^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318423449 + ... + 318522048.

It is an arithmetic number, because the mean of its divisors is an integer number (1036628797995).

Almost surely, 2^{31401413002100} is an apocalyptic number.

It is an amenable number.

31401413002100 is an abundant number, since it is smaller than the sum of its proper divisors (43235860453540).

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

31401413002100 is a wasteful number, since it uses less digits than its factorization.

31401413002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636945557 (or 636945550 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 31401413002100 its reverse (120031410413), we get a palindrome (31521444412513).

The spelling of 31401413002100 in words is "thirty-one trillion, four hundred one billion, four hundred thirteen million, two thousand, one hundred".