131113824 has 48 divisors (see below), whose sum is σ = 345062592. Its totient is φ = 43591808.

The previous prime is 131113799. The next prime is 131113831. The reversal of 131113824 is 428311131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131113794 and 131113803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40987 + ... + 44069.

It is an arithmetic number, because the mean of its divisors is an integer number (7188804).

Almost surely, 2^131113824 is an apocalyptic number.

It is an amenable number.

131113824 is an abundant number, since it is smaller than the sum of its proper divisors (213948768).

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

131113824 is a wasteful number, since it uses less digits than its factorization.

131113824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539 (or 3531 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 131113824 is about 11450.4944871390. The cubic root of 131113824 is about 508.0223603938.

Adding to 131113824 its reverse (428311131), we get a palindrome (559424955).

The spelling of 131113824 in words is "one hundred thirty-one million, one hundred thirteen thousand, eight hundred twenty-four".