131513000 has 64 divisors (see below), whose sum is σ = 309441600. Its totient is φ = 52315200.

The previous prime is 131512991. The next prime is 131513017. The reversal of 131513000 is 315131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346811 + ... + 347189.

It is an arithmetic number, because the mean of its divisors is an integer number (4835025).

Almost surely, 2^131513000 is an apocalyptic number.

131513000 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 131513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154720800).

131513000 is an abundant number, since it is smaller than the sum of its proper divisors (177928600).

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

131513000 is a wasteful number, since it uses less digits than its factorization.

131513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 131513000 is about 11467.9117541076. The cubic root of 131513000 is about 508.5373960490.

Adding to 131513000 its reverse (315131), we get a palindrome (131828131).

The spelling of 131513000 in words is "one hundred thirty-one million, five hundred thirteen thousand".