10023001313013 has 144 divisors (see below), whose sum is σ = 16409309552064. Its totient is φ = 5887365120000.

The previous prime is 10023001312981. The next prime is 10023001313071. The reversal of 10023001313013 is 31031310032001.

It is a happy number.

10023001313013 is a `hidden beast` number, since 1 + 0 + 0 + 230 + 0 + 131 + 301 + 3 = 666.

It is not a de Polignac number, because 10023001313013 - 2⁵ = 10023001312981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023001313113) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 890848638 + ... + 890859888.

It is an arithmetic number, because the mean of its divisors is an integer number (113953538556).

Almost surely, 2^{10023001313013} is an apocalyptic number.

10023001313013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10023001313013 is a deficient number, since it is larger than the sum of its proper divisors (6386308239051).

10023001313013 is a wasteful number, since it uses less digits than its factorization.

10023001313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11636 (or 11620 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10023001313013 its reverse (31031310032001), we get a palindrome (41054311345014).

The spelling of 10023001313013 in words is "ten trillion, twenty-three billion, one million, three hundred thirteen thousand, thirteen".