31107490128 has 400 divisors, whose sum is σ = 107804100096. Its totient is φ = 8534522880.

The previous prime is 31107490091. The next prime is 31107490153. The reversal of 31107490128 is 82109470113.

It is a happy number.

31107490128 is a `hidden beast` number, since 31 + 10 + 7 + 490 + 128 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31107490092 and 31107490101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9820801 + ... + 9823967.

Almost surely, 2^31107490128 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 31107490128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53902050048).

31107490128 is an abundant number, since it is smaller than the sum of its proper divisors (76696609968).

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

31107490128 is a wasteful number, since it uses less digits than its factorization.

31107490128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 31107490128 in words is "thirty-one billion, one hundred seven million, four hundred ninety thousand, one hundred twenty-eight".