131113000 has 32 divisors (see below), whose sum is σ = 306806760. Its totient is φ = 52444800.

The previous prime is 131112991. The next prime is 131113007. The reversal of 131113000 is 311131.

It can be written as a sum of positive squares in 4 ways, for example, as 20484676 + 110628324 = 4526^2 + 10518^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (131113007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64557 + ... + 66556.

Almost surely, 2^131113000 is an apocalyptic number.

131113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131113000 is an abundant number, since it is smaller than the sum of its proper divisors (175693760).

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

131113000 is a wasteful number, since it uses less digits than its factorization.

131113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131134 (or 131120 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 131113000 is about 11450.4585061036. The cubic root of 131113000 is about 508.0212961498.

Adding to 131113000 its reverse (311131), we get a palindrome (131424131).

The spelling of 131113000 in words is "one hundred thirty-one million, one hundred thirteen thousand".