101315661345 has 48 divisors (see below), whose sum is σ = 187363642752. Its totient is φ = 50468221440.

The previous prime is 101315661323. The next prime is 101315661367. The reversal of 101315661345 is 543166513101.

101315661345 is a `hidden beast` number, since 1 + 0 + 1 + 31 + 5 + 6 + 613 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (101315661323) and next prime (101315661367).

It is not a de Polignac number, because 101315661345 - 2⁶ = 101315661281 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405277 + ... + 605706.

It is an arithmetic number, because the mean of its divisors is an integer number (3903409224).

Almost surely, 2^101315661345 is an apocalyptic number.

101315661345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101315661345 is a deficient number, since it is larger than the sum of its proper divisors (86047981407).

101315661345 is a wasteful number, since it uses less digits than its factorization.

101315661345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011142 (or 1011139 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 101315661345 in words is "one hundred one billion, three hundred fifteen million, six hundred sixty-one thousand, three hundred forty-five".