31193919900 has 216 divisors, whose sum is σ = 114869720784. Its totient is φ = 6980428800.

The previous prime is 31193919899. The next prime is 31193919917. The reversal of 31193919900 is 991939113.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7512 + ... + 249888.

Almost surely, 2^31193919900 is an apocalyptic number.

31193919900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31193919900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57434860392).

31193919900 is an abundant number, since it is smaller than the sum of its proper divisors (83675800884).

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

31193919900 is a wasteful number, since it uses less digits than its factorization.

31193919900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242421 (or 242411 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 45.

The spelling of 31193919900 in words is "thirty-one billion, one hundred ninety-three million, nine hundred nineteen thousand, nine hundred".