31013020100 has 144 divisors (see below), whose sum is σ = 73097821440. Its totient is φ = 11377766400.

The previous prime is 31013020091. The next prime is 31013020127. The reversal of 31013020100 is 102031013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10740857 + ... + 10743743.

It is an arithmetic number, because the mean of its divisors is an integer number (507623760).

Almost surely, 2^31013020100 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 31013020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36548910720).

31013020100 is an abundant number, since it is smaller than the sum of its proper divisors (42084801340).

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

31013020100 is a wasteful number, since it uses less digits than its factorization.

31013020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 31013020100 its reverse (102031013), we get a palindrome (31115051113).

The spelling of 31013020100 in words is "thirty-one billion, thirteen million, twenty thousand, one hundred".