31900268123136 has 1584 divisors, whose sum is σ = 113453976064000. Its totient is φ = 8959636094976.

The previous prime is 31900268123093. The next prime is 31900268123167. The reversal of 31900268123136 is 63132186200913.

31900268123136 is a `hidden beast` number, since 319 + 0 + 0 + 2 + 6 + 8 + 12 + 313 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31900268123091 and 31900268123100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 251183213505 + ... + 251183213631.

Almost surely, 2^{31900268123136} is an apocalyptic number.

31900268123136 is a gapful number since it is divisible by the number (36) 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 31900268123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56726988032000).

31900268123136 is an abundant number, since it is smaller than the sum of its proper divisors (81553707940864).

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

31900268123136 is an frugal number, since it uses more digits than its factorization.

31900268123136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 31900268123136 in words is "thirty-one trillion, nine hundred billion, two hundred sixty-eight million, one hundred twenty-three thousand, one hundred thirty-six".