101413413113 has 16 divisors (see below), whose sum is σ = 115662007296. Its totient is φ = 88352901120.

The previous prime is 101413413097. The next prime is 101413413139. The reversal of 101413413113 is 311314314101.

It is a cyclic number.

It is not a de Polignac number, because 101413413113 - 2⁴ = 101413413097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (101413413713) 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, 4171256 + ... + 4195497.

It is an arithmetic number, because the mean of its divisors is an integer number (7228875456).

Almost surely, 2^101413413113 is an apocalyptic number.

It is an amenable number.

101413413113 is a deficient number, since it is larger than the sum of its proper divisors (14248594183).

101413413113 is a wasteful number, since it uses less digits than its factorization.

101413413113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8366824.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101413413113 its reverse (311314314101), we get a palindrome (412727727214).

The spelling of 101413413113 in words is "one hundred one billion, four hundred thirteen million, four hundred thirteen thousand, one hundred thirteen".