10000012100013 has 128 divisors (see below), whose sum is σ = 16317733824000. Its totient is φ = 6015578849280.

The previous prime is 10000012100003. The next prime is 10000012100017. The reversal of 10000012100013 is 31000121000001.

It is not a de Polignac number, because 10000012100013 - 2⁶ = 10000012099949 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10000012099968 and 10000012100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000012100017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1479069553 + ... + 1479076313.

It is an arithmetic number, because the mean of its divisors is an integer number (127482295500).

Almost surely, 2^{10000012100013} is an apocalyptic number.

10000012100013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10000012100013 is a deficient number, since it is larger than the sum of its proper divisors (6317721723987).

10000012100013 is a wasteful number, since it uses less digits than its factorization.

10000012100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404 (or 7398 counting only the distinct ones).

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

Adding to 10000012100013 its reverse (31000121000001), we get a palindrome (41000133100014).

The spelling of 10000012100013 in words is "ten trillion, twelve million, one hundred thousand, thirteen".