100103103013329 has 32 divisors (see below), whose sum is σ = 159712436822400. Its totient is φ = 61600450605120.

The previous prime is 100103103013301. The next prime is 100103103013373. The reversal of 100103103013329 is 923310301301001.

100103103013329 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 31 + 0 + 301 + 3 + 329 = 666.

It is not a de Polignac number, because 100103103013329 - 2²⁸ = 100102834577873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100103103015329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11558407 + ... + 18270275.

It is an arithmetic number, because the mean of its divisors is an integer number (4991013650700).

Almost surely, 2^{100103103013329} is an apocalyptic number.

It is an amenable number.

100103103013329 is a deficient number, since it is larger than the sum of its proper divisors (59609333809071).

100103103013329 is a wasteful number, since it uses less digits than its factorization.

100103103013329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754382 (or 6754376 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 100103103013329 in words is "one hundred trillion, one hundred three billion, one hundred three million, thirteen thousand, three hundred twenty-nine".