31312121000100 has 36 divisors (see below), whose sum is σ = 90596403427824. Its totient is φ = 8349898933280.

The previous prime is 31312121000089. The next prime is 31312121000117. The reversal of 31312121000100 is 100012121313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31312121000100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52186868034 + ... + 52186868633.

It is an arithmetic number, because the mean of its divisors is an integer number (2516566761884).

Almost surely, 2^{31312121000100} is an apocalyptic number.

31312121000100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31312121000100 is an abundant number, since it is smaller than the sum of its proper divisors (59284282427724).

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

31312121000100 is a wasteful number, since it uses less digits than its factorization.

31312121000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104373736684 (or 104373736677 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31312121000100 its reverse (100012121313), we get a palindrome (31412133121413).

The spelling of 31312121000100 in words is "thirty-one trillion, three hundred twelve billion, one hundred twenty-one million, one hundred", and thus it is an aban number.