100397813131 has 8 divisors (see below), whose sum is σ = 125171299584. Its totient is φ = 78232062120.

The previous prime is 100397813119. The next prime is 100397813143. The reversal of 100397813131 is 131318793001.

It is an interprime number because it is at equal distance from previous prime (100397813119) and next prime (100397813143).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100397813131 - 2¹⁵ = 100397780363 is a prime.

It is a super-2 number, since 2×100397813131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100397813731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651933775 + ... + 651933928.

It is an arithmetic number, because the mean of its divisors is an integer number (15646412448).

Almost surely, 2^100397813131 is an apocalyptic number.

100397813131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100397813131 is a deficient number, since it is larger than the sum of its proper divisors (24773486453).

100397813131 is a wasteful number, since it uses less digits than its factorization.

100397813131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303867721.

The product of its (nonzero) digits is 13608, while the sum is 37.

The spelling of 100397813131 in words is "one hundred billion, three hundred ninety-seven million, eight hundred thirteen thousand, one hundred thirty-one".