3131201112000 has 224 divisors, whose sum is σ = 11134552263744. Its totient is φ = 770757120000.

The previous prime is 3131201111981. The next prime is 3131201112007. The reversal of 3131201112000 is 2111021313.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131201112007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4705951 + ... + 5329950.

It is an arithmetic number, because the mean of its divisors is an integer number (49707822606).

Almost surely, 2^{3131201112000} is an apocalyptic number.

3131201112000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131201112000 is an abundant number, since it is smaller than the sum of its proper divisors (8003351151744).

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

3131201112000 is a wasteful number, since it uses less digits than its factorization.

3131201112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10035944 (or 10035924 counting only the distinct ones).

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

Adding to 3131201112000 its reverse (2111021313), we get a palindrome (3133312133313).

The spelling of 3131201112000 in words is "three trillion, one hundred thirty-one billion, two hundred one million, one hundred twelve thousand".