3131310101100 has 144 divisors (see below), whose sum is σ = 9283448071296. Its totient is φ = 814425920000.

The previous prime is 3131310101081. The next prime is 3131310101119. The reversal of 3131310101100 is 11010131313.

It is an interprime number because it is at equal distance from previous prime (3131310101081) and next prime (3131310101119).

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 3131310101100.

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, 47334247 + ... + 47400353.

It is an arithmetic number, because the mean of its divisors is an integer number (64468389384).

Almost surely, 2^{3131310101100} is an apocalyptic number.

3131310101100 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 3131310101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641724035648).

3131310101100 is an abundant number, since it is smaller than the sum of its proper divisors (6152137970196).

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

3131310101100 is a wasteful number, since it uses less digits than its factorization.

3131310101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70016 (or 70009 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 3131310101100 its reverse (11010131313), we get a palindrome (3142320232413).

The spelling of 3131310101100 in words is "three trillion, one hundred thirty-one billion, three hundred ten million, one hundred one thousand, one hundred".