100513131 has 4 divisors (see below), whose sum is σ = 134017512. Its totient is φ = 67008752.

The previous prime is 100513121. The next prime is 100513139. The reversal of 100513131 is 131315001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100513131 - 2⁷ = 100513003 is a prime.

It is a super-2 number, since 2×100513131² = 20205779006846322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100513131.

It is not an unprimeable number, because it can be changed into a prime (100513139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16752186 + ... + 16752191.

It is an arithmetic number, because the mean of its divisors is an integer number (33504378).

Almost surely, 2^100513131 is an apocalyptic number.

100513131 is a deficient number, since it is larger than the sum of its proper divisors (33504381).

100513131 is an equidigital number, since it uses as much as digits as its factorization.

100513131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33504380.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 100513131 is about 10025.6237212455. The cubic root of 100513131 is about 464.9514436522.

Adding to 100513131 its reverse (131315001), we get a palindrome (231828132).

The spelling of 100513131 in words is "one hundred million, five hundred thirteen thousand, one hundred thirty-one".