131700661657700 has 144 divisors (see below), whose sum is σ = 294566275458000. Its totient is φ = 51073081344000.

The previous prime is 131700661657699. The next prime is 131700661657757. The reversal of 131700661657700 is 7756166007131.

It can be written as a sum of positive squares in 24 ways, for example, as 47073430776064 + 84627230881636 = 6861008^2 + 9199306^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 1378309526 + ... + 1378405074.

It is an arithmetic number, because the mean of its divisors is an integer number (2045599135125).

Almost surely, 2^{131700661657700} is an apocalyptic number.

131700661657700 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 131700661657700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147283137729000).

131700661657700 is an abundant number, since it is smaller than the sum of its proper divisors (162865613800300).

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

131700661657700 is a wasteful number, since it uses less digits than its factorization.

131700661657700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96930 (or 96923 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 50.

The spelling of 131700661657700 in words is "one hundred thirty-one trillion, seven hundred billion, six hundred sixty-one million, six hundred fifty-seven thousand, seven hundred".