31371896934900 has 144 divisors (see below), whose sum is σ = 100873415563200. Its totient is φ = 8364298273920.

The previous prime is 31371896934871. The next prime is 31371896934919. The reversal of 31371896934900 is 943969817313.

31371896934900 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 1 + 89 + 69 + 3 + 490 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13628746 + ... + 15763454.

It is an arithmetic number, because the mean of its divisors is an integer number (700509830300).

Almost surely, 2^{31371896934900} is an apocalyptic number.

31371896934900 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 31371896934900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50436707781600).

31371896934900 is an abundant number, since it is smaller than the sum of its proper divisors (69501518628300).

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

31371896934900 is a wasteful number, since it uses less digits than its factorization.

31371896934900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140175 (or 2140162 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 31371896934900 in words is "thirty-one trillion, three hundred seventy-one billion, eight hundred ninety-six million, nine hundred thirty-four thousand, nine hundred".