12010100013 has 16 divisors (see below), whose sum is σ = 18729201600. Its totient is φ = 7585326000.

The previous prime is 12010099951. The next prime is 12010100017. The reversal of 12010100013 is 31000101021.

It is not a de Polignac number, because 12010100013 - 2²⁴ = 11993322797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12010099968 and 12010100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010100017) 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, 11705238 + ... + 11706263.

It is an arithmetic number, because the mean of its divisors is an integer number (1170575100).

Almost surely, 2^12010100013 is an apocalyptic number.

It is an amenable number.

12010100013 is a deficient number, since it is larger than the sum of its proper divisors (6719101587).

12010100013 is a wasteful number, since it uses less digits than its factorization.

12010100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23411529 (or 23411523 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12010100013 its reverse (31000101021), we get a palindrome (43010201034).

The spelling of 12010100013 in words is "twelve billion, ten million, one hundred thousand, thirteen".