2131913373408 has 648 divisors, whose sum is σ = 8086041604368. Its totient is φ = 529178517504.

The previous prime is 2131913373389. The next prime is 2131913373409. The reversal of 2131913373408 is 8043733191312.

2131913373408 is a `hidden beast` number, since 21 + 3 + 191 + 3 + 37 + 3 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131913373409) 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 107 ways as a sum of consecutive naturals, for example, 40517485 + ... + 40570067.

It is an arithmetic number, because the mean of its divisors is an integer number (12478459266).

Almost surely, 2^{2131913373408} is an apocalyptic number.

2131913373408 is a gapful number since it is divisible by the number (28) 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 2131913373408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043020802184).

2131913373408 is an abundant number, since it is smaller than the sum of its proper divisors (5954128230960).

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

2131913373408 is a wasteful number, since it uses less digits than its factorization.

2131913373408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52656 (or 52625 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 2131913373408 in words is "two trillion, one hundred thirty-one billion, nine hundred thirteen million, three hundred seventy-three thousand, four hundred eight".