3131100102000 has 320 divisors, whose sum is σ = 10877031075456. Its totient is φ = 770317516800.

The previous prime is 3131100101993. The next prime is 3131100102001. The reversal of 3131100102000 is 2010011313.

3131100102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131100102001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160124224 + ... + 160143776.

Almost surely, 2^{3131100102000} is an apocalyptic number.

3131100102000 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 3131100102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438515537728).

3131100102000 is an abundant number, since it is smaller than the sum of its proper divisors (7745930973456).

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

3131100102000 is a wasteful number, since it uses less digits than its factorization.

3131100102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21645 (or 21629 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 3131100102000 its reverse (2010011313), we get a palindrome (3133110113313).

The spelling of 3131100102000 in words is "three trillion, one hundred thirty-one billion, one hundred million, one hundred two thousand".