131113100 has 18 divisors (see below), whose sum is σ = 284515644. Its totient is φ = 52445200.

The previous prime is 131113093. The next prime is 131113111. The reversal of 131113100 is 1311131.

131113100 = T₃₃₈ + T₃₃₉ + ... + T₉₃₇.

It is a happy number.

It is a super-2 number, since 2×131113100² = 34381289983220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 655466 + ... + 655665.

Almost surely, 2^131113100 is an apocalyptic number.

131113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131113100 is an abundant number, since it is smaller than the sum of its proper divisors (153402544).

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

131113100 is a wasteful number, since it uses less digits than its factorization.

131113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311145 (or 1311138 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 131113100 is about 11450.4628727401. The cubic root of 131113100 is about 508.0214253059.

Adding to 131113100 its reverse (1311131), we get a palindrome (132424231).

Multiplying 131113100 by its reverse (1311131), we get a square (171906449916100 = 13111310²).

131113100 divided by its reverse (1311131) gives a square (100 = 10²).

The spelling of 131113100 in words is "one hundred thirty-one million, one hundred thirteen thousand, one hundred".