131101313100 has 72 divisors (see below), whose sum is σ = 379510168128. Its totient is φ = 34942804800.

The previous prime is 131101313089. The next prime is 131101313111. The reversal of 131101313100 is 1313101131.

It is an interprime number because it is at equal distance from previous prime (131101313089) and next prime (131101313111).

It is a super-2 number, since 2×131101313100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131101313100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494647 + ... + 711953.

Almost surely, 2^131101313100 is an apocalyptic number.

131101313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131101313100 is an abundant number, since it is smaller than the sum of its proper divisors (248408855028).

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

131101313100 is a wasteful number, since it uses less digits than its factorization.

131101313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219335 (or 219328 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 131101313100 its reverse (1313101131), we get a palindrome (132414414231).

The spelling of 131101313100 in words is "one hundred thirty-one billion, one hundred one million, three hundred thirteen thousand, one hundred".