101132880416307 has 8 divisors (see below), whose sum is σ = 149826489505680. Its totient is φ = 67421920277520.

The previous prime is 101132880416299. The next prime is 101132880416329. The reversal of 101132880416307 is 703614088231101.

101132880416307 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 2 + 8 + 8 + 0 + 4 + 1 + 630 + 7 = 666.

It is not a de Polignac number, because 101132880416307 - 2³ = 101132880416299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101132880426307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1872831118794 + ... + 1872831118847.

It is an arithmetic number, because the mean of its divisors is an integer number (18728311188210).

Almost surely, 2^{101132880416307} is an apocalyptic number.

101132880416307 is a deficient number, since it is larger than the sum of its proper divisors (48693609089373).

101132880416307 is an equidigital number, since it uses as much as digits as its factorization.

101132880416307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745662237650 (or 3745662237644 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 101132880416307 in words is "one hundred one trillion, one hundred thirty-two billion, eight hundred eighty million, four hundred sixteen thousand, three hundred seven".