3131220312000 has 672 divisors, whose sum is σ = 12549525303744. Its totient is φ = 738561024000.

The previous prime is 3131220311987. The next prime is 3131220312029. The reversal of 3131220312000 is 2130221313.

3131220312000 is a `hidden beast` number, since 3 + 131 + 220 + 312 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29250574 + ... + 29357426.

Almost surely, 2^{3131220312000} is an apocalyptic number.

3131220312000 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 3131220312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274762651872).

3131220312000 is an abundant number, since it is smaller than the sum of its proper divisors (9418304991744).

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

3131220312000 is a wasteful number, since it uses less digits than its factorization.

3131220312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106934 (or 106911 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3131220312000 its reverse (2130221313), we get a palindrome (3133350533313).

The spelling of 3131220312000 in words is "three trillion, one hundred thirty-one billion, two hundred twenty million, three hundred twelve thousand".