3131132133120 has 144 divisors (see below), whose sum is σ = 10001707602432. Its totient is φ = 834830438400.

The previous prime is 3131132133113. The next prime is 3131132133163. The reversal of 3131132133120 is 213312311313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24292845 + ... + 24421395.

Almost surely, 2^{3131132133120} is an apocalyptic number.

3131132133120 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 3131132133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000853801216).

3131132133120 is an abundant number, since it is smaller than the sum of its proper divisors (6870575469312).

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

3131132133120 is a wasteful number, since it uses less digits than its factorization.

3131132133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134918 (or 134904 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 3131132133120 its reverse (213312311313), we get a palindrome (3344444444433).

The spelling of 3131132133120 in words is "three trillion, one hundred thirty-one billion, one hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty".