101400067565413 has 8 divisors (see below), whose sum is σ = 107746858485720. Its totient is φ = 95095730096640.

The previous prime is 101400067565399. The next prime is 101400067565453. The reversal of 101400067565413 is 314565760004101.

It can be written as a sum of positive squares in 4 ways, for example, as 30198080297284 + 71201987268129 = 5495278^2 + 8438127^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101400067565413 - 2³⁷ = 101262628611941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101400067565413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400067565453) 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, 10613357958 + ... + 10613367511.

It is an arithmetic number, because the mean of its divisors is an integer number (13468357310715).

Almost surely, 2^{101400067565413} is an apocalyptic number.

It is an amenable number.

101400067565413 is a deficient number, since it is larger than the sum of its proper divisors (6346790920307).

101400067565413 is a wasteful number, since it uses less digits than its factorization.

101400067565413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21226725767.

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 101400067565413 in words is "one hundred one trillion, four hundred billion, sixty-seven million, five hundred sixty-five thousand, four hundred thirteen".