3131190220158 has 768 divisors, whose sum is σ = 9690115276800. Its totient is φ = 727391508480.

The previous prime is 3131190220157. The next prime is 3131190220177. The reversal of 3131190220158 is 8510220911313.

3131190220158 is a `hidden beast` number, since 3 + 1 + 311 + 90 + 2 + 201 + 58 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131190220157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3732049903 + ... + 3732050741.

It is an arithmetic number, because the mean of its divisors is an integer number (12617337600).

Almost surely, 2^{3131190220158} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131190220158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845057638400).

3131190220158 is an abundant number, since it is smaller than the sum of its proper divisors (6558925056642).

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

3131190220158 is a wasteful number, since it uses less digits than its factorization.

3131190220158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 3131190220158 in words is "three trillion, one hundred thirty-one billion, one hundred ninety million, two hundred twenty thousand, one hundred fifty-eight".