31287980100 has 144 divisors (see below), whose sum is σ = 97599031040. Its totient is φ = 7693056000.

The previous prime is 31287980083. The next prime is 31287980107. The reversal of 31287980100 is 108978213.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (31287980107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3931125 + ... + 3939075.

Almost surely, 2^31287980100 is an apocalyptic number.

31287980100 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 31287980100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48799515520).

31287980100 is an abundant number, since it is smaller than the sum of its proper divisors (66311050940).

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

31287980100 is a wasteful number, since it uses less digits than its factorization.

31287980100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8990 (or 8983 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 31287980100 in words is "thirty-one billion, two hundred eighty-seven million, nine hundred eighty thousand, one hundred".