31120010000100 has 648 divisors, whose sum is σ = 114862313966400. Its totient is φ = 7026234969600.

The previous prime is 31120010000083. The next prime is 31120010000117. The reversal of 31120010000100 is 100001002113.

It is an interprime number because it is at equal distance from previous prime (31120010000083) and next prime (31120010000117).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1591074121 + ... + 1591093679.

Almost surely, 2^{31120010000100} is an apocalyptic number.

31120010000100 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 31120010000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57431156983200).

31120010000100 is an abundant number, since it is smaller than the sum of its proper divisors (83742303966300).

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

31120010000100 is a wasteful number, since it uses less digits than its factorization.

31120010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20033 (or 20016 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 31120010000100 its reverse (100001002113), we get a palindrome (31220011002213).

The spelling of 31120010000100 in words is "thirty-one trillion, one hundred twenty billion, ten million, one hundred", and thus it is an aban number.