3131133013332 has 144 divisors (see below), whose sum is σ = 8343102768000. Its totient is φ = 988778181888.

The previous prime is 3131133013331. The next prime is 3131133013381. The reversal of 3131133013332 is 2333103311313.

3131133013332 is a `hidden beast` number, since 3 + 1 + 311 + 3 + 3 + 0 + 13 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3131133013296 and 3131133013305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131133013331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11587419 + ... + 11854557.

Almost surely, 2^{3131133013332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131133013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171551384000).

3131133013332 is an abundant number, since it is smaller than the sum of its proper divisors (5211969754668).

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

3131133013332 is a wasteful number, since it uses less digits than its factorization.

3131133013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267390 (or 267385 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 3131133013332 its reverse (2333103311313), we get a palindrome (5464236324645).

The spelling of 3131133013332 in words is "three trillion, one hundred thirty-one billion, one hundred thirty-three million, thirteen thousand, three hundred thirty-two".