101313627405004 has 96 divisors (see below), whose sum is σ = 205845462466560. Its totient is φ = 42731753435712.

The previous prime is 101313627404993. The next prime is 101313627405037. The reversal of 101313627405004 is 400504726313101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13403042577 + ... + 13403050135.

It is an arithmetic number, because the mean of its divisors is an integer number (2144223567360).

Almost surely, 2^{101313627405004} is an apocalyptic number.

101313627405004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101313627405004 is an abundant number, since it is smaller than the sum of its proper divisors (104531835061556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101313627405004 is a wasteful number, since it uses less digits than its factorization.

101313627405004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13427 (or 13425 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 101313627405004 in words is "one hundred one trillion, three hundred thirteen billion, six hundred twenty-seven million, four hundred five thousand, four".