100131313200219 has 48 divisors (see below), whose sum is σ = 173997531052800. Its totient is φ = 54205927247808.

The previous prime is 100131313200211. The next prime is 100131313200227. The reversal of 100131313200219 is 912002313131001.

100131313200219 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 313 + 1 + 320 + 0 + 21 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (100131313200211) and next prime (100131313200227).

It is not a de Polignac number, because 100131313200219 - 2³ = 100131313200211 is a prime.

It is a super-2 number, since 2×100131313200219² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100131313200192 and 100131313200201.

It is not an unprimeable number, because it can be changed into a prime (100131313200211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156839152 + ... + 157476290.

It is an arithmetic number, because the mean of its divisors is an integer number (3624948563600).

Almost surely, 2^{100131313200219} is an apocalyptic number.

100131313200219 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

100131313200219 is a deficient number, since it is larger than the sum of its proper divisors (73866217852581).

100131313200219 is a wasteful number, since it uses less digits than its factorization.

100131313200219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768464 (or 768461 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 100131313200219 in words is "one hundred trillion, one hundred thirty-one billion, three hundred thirteen million, two hundred thousand, two hundred nineteen".