131369700 has 288 divisors, whose sum is σ = 487968768. Its totient is φ = 26716800.

The previous prime is 131369683. The next prime is 131369741. The reversal of 131369700 is 7963131.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2795077 + ... + 2795123.

It is an arithmetic number, because the mean of its divisors is an integer number (1694336).

Almost surely, 2^131369700 is an apocalyptic number.

131369700 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 131369700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243984384).

131369700 is an abundant number, since it is smaller than the sum of its proper divisors (356599068).

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

131369700 is a wasteful number, since it uses less digits than its factorization.

131369700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 131369700 is about 11461.6621831216. The cubic root of 131369700 is about 508.3526237118.

The spelling of 131369700 in words is "one hundred thirty-one million, three hundred sixty-nine thousand, seven hundred".