101313124401 has 32 divisors (see below), whose sum is σ = 144492491520. Its totient is φ = 62919788544.

The previous prime is 101313124391. The next prime is 101313124441. The reversal of 101313124401 is 104421313101.

It is not a de Polignac number, because 101313124401 - 2⁵ = 101313124369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101313124441) 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, 14247835 + ... + 14254943.

It is an arithmetic number, because the mean of its divisors is an integer number (4515390360).

Almost surely, 2^101313124401 is an apocalyptic number.

It is an amenable number.

101313124401 is a deficient number, since it is larger than the sum of its proper divisors (43179367119).

101313124401 is a wasteful number, since it uses less digits than its factorization.

101313124401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101313124401 its reverse (104421313101), we get a palindrome (205734437502).

The spelling of 101313124401 in words is "one hundred one billion, three hundred thirteen million, one hundred twenty-four thousand, four hundred one".