31386969901980 has 960 divisors, whose sum is σ = 123439453175808. Its totient is φ = 6485878863360.

The previous prime is 31386969901979. The next prime is 31386969901997. The reversal of 31386969901980 is 8910996968313.

31386969901980 is a `hidden beast` number, since 313 + 8 + 69 + 69 + 9 + 0 + 198 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31386969901899 and 31386969901908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 21164510319 + ... + 21164511801.

Almost surely, 2^{31386969901980} is an apocalyptic number.

31386969901980 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 31386969901980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61719726587904).

31386969901980 is an abundant number, since it is smaller than the sum of its proper divisors (92052483273828).

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

31386969901980 is a wasteful number, since it uses less digits than its factorization.

31386969901980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 72.

The spelling of 31386969901980 in words is "thirty-one trillion, three hundred eighty-six billion, nine hundred sixty-nine million, nine hundred one thousand, nine hundred eighty".