31401413120 has 320 divisors, whose sum is σ = 94399886592. Its totient is φ = 9732096000.

The previous prime is 31401413077. The next prime is 31401413161. The reversal of 31401413120 is 2131410413.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 31401413092 and 31401413101.

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, 47505590 + ... + 47506250.

Almost surely, 2^31401413120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31401413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47199943296).

31401413120 is an abundant number, since it is smaller than the sum of its proper divisors (62998473472).

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

31401413120 is a wasteful number, since it uses less digits than its factorization.

31401413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 927 counting only the distinct ones).

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

Adding to 31401413120 its reverse (2131410413), we get a palindrome (33532823533).

The spelling of 31401413120 in words is "thirty-one billion, four hundred one million, four hundred thirteen thousand, one hundred twenty".