100157788313 has 16 divisors (see below), whose sum is σ = 111985574976. Its totient is φ = 88790634240.

The previous prime is 100157788277. The next prime is 100157788333. The reversal of 100157788313 is 313887751001.

It is not a de Polignac number, because 100157788313 - 2⁶ = 100157788249 is a prime.

It is a super-3 number, since 3×100157788313³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100157788333) 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 15 ways as a sum of consecutive naturals, for example, 120245 + ... + 463437.

It is an arithmetic number, because the mean of its divisors is an integer number (6999098436).

Almost surely, 2^100157788313 is an apocalyptic number.

It is an amenable number.

100157788313 is a deficient number, since it is larger than the sum of its proper divisors (11827786663).

100157788313 is a wasteful number, since it uses less digits than its factorization.

100157788313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343864.

The product of its (nonzero) digits is 141120, while the sum is 44.

The spelling of 100157788313 in words is "one hundred billion, one hundred fifty-seven million, seven hundred eighty-eight thousand, three hundred thirteen".