101411402401413 has 32 divisors (see below), whose sum is σ = 161907785222400. Its totient is φ = 62363887996608.

The previous prime is 101411402401409. The next prime is 101411402401471. The reversal of 101411402401413 is 314104204114101.

101411402401413 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 1 + 4 + 0 + 240 + 1 + 413 = 666.

It is not a de Polignac number, because 101411402401413 - 2² = 101411402401409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101411402401493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99326718 + ... + 100342511.

It is an arithmetic number, because the mean of its divisors is an integer number (5059618288200).

Almost surely, 2^{101411402401413} is an apocalyptic number.

101411402401413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101411402401413 is a deficient number, since it is larger than the sum of its proper divisors (60496382820987).

101411402401413 is a wasteful number, since it uses less digits than its factorization.

101411402401413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199670698 (or 199670692 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 101411402401413 its reverse (314104204114101), we get a palindrome (415515606515514).

The spelling of 101411402401413 in words is "one hundred one trillion, four hundred eleven billion, four hundred two million, four hundred one thousand, four hundred thirteen".