31107198330 has 144 divisors (see below), whose sum is σ = 89522446104. Its totient is φ = 7449822720.

The previous prime is 31107198329. The next prime is 31107198347. The reversal of 31107198330 is 3389170113.

31107198330 is a `hidden beast` number, since 31 + 107 + 198 + 330 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 19160926929 + 11946271401 = 138423^2 + 109299^2 .

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1592020 + ... + 1611440.

Almost surely, 2^31107198330 is an apocalyptic number.

31107198330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31107198330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44761223052).

31107198330 is an abundant number, since it is smaller than the sum of its proper divisors (58415247774).

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

31107198330 is a wasteful number, since it uses less digits than its factorization.

31107198330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19521 (or 19481 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 31107198330 in words is "thirty-one billion, one hundred seven million, one hundred ninety-eight thousand, three hundred thirty".