100120615345413 has 28 divisors (see below), whose sum is σ = 161659349600140. Its totient is φ = 61612686360576.

The previous prime is 100120615345393. The next prime is 100120615345441. The reversal of 100120615345413 is 314543516021001.

100120615345413 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 0 + 61 + 53 + 4 + 541 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50726046217284 + 49394569128129 = 7122222^2 + 7028127^2 .

It is not a de Polignac number, because 100120615345413 - 2²⁶ = 100120548236549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120615345463) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5282285308 + ... + 5282304261.

It is an arithmetic number, because the mean of its divisors is an integer number (5773548200005).

Almost surely, 2^{100120615345413} is an apocalyptic number.

100120615345413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100120615345413 is a deficient number, since it is larger than the sum of its proper divisors (61538734254727).

100120615345413 is an equidigital number, since it uses as much as digits as its factorization.

100120615345413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10564589600 (or 10564589585 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 100120615345413 in words is "one hundred trillion, one hundred twenty billion, six hundred fifteen million, three hundred forty-five thousand, four hundred thirteen".