131315017600 has 192 divisors, whose sum is σ = 369893669040. Its totient is φ = 45633208320.

The previous prime is 131315017597. The next prime is 131315017609. The reversal of 131315017600 is 6710513131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131315017609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614359 + ... + 800041.

Almost surely, 2^131315017600 is an apocalyptic number.

131315017600 is a gapful number since it is divisible by the number (10) 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 131315017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184946834520).

131315017600 is an abundant number, since it is smaller than the sum of its proper divisors (238578651440).

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

131315017600 is a wasteful number, since it uses less digits than its factorization.

131315017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185737 (or 185720 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The spelling of 131315017600 in words is "one hundred thirty-one billion, three hundred fifteen million, seventeen thousand, six hundred".