102414254400013 has 16 divisors (see below), whose sum is σ = 103993089212416. Its totient is φ = 100840189299840.

The previous prime is 102414254399993. The next prime is 102414254400131. The reversal of 102414254400013 is 310004452414201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102414254400013 - 2⁵ = 102414254399981 is a prime.

It is a super-2 number, since 2×102414254400013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102414254400413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1298760295 + ... + 1298839147.

It is an arithmetic number, because the mean of its divisors is an integer number (6499568075776).

Almost surely, 2^{102414254400013} is an apocalyptic number.

It is an amenable number.

102414254400013 is a deficient number, since it is larger than the sum of its proper divisors (1578834812403).

102414254400013 is an equidigital number, since it uses as much as digits as its factorization.

102414254400013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108844.

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 102414254400013 in words is "one hundred two trillion, four hundred fourteen billion, two hundred fifty-four million, four hundred thousand, thirteen".