10002012112013 has 2 divisors, whose sum is σ = 10002012112014. Its totient is φ = 10002012112012.

The previous prime is 10002012111979. The next prime is 10002012112039. The reversal of 10002012112013 is 31021121020001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7347986654089 + 2654025457924 = 2710717^2 + 1629118^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002012112013 - 2¹² = 10002012107917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002012192013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001006056006 + 5001006056007.

It is an arithmetic number, because the mean of its divisors is an integer number (5001006056007).

Almost surely, 2^{10002012112013} is an apocalyptic number.

It is an amenable number.

10002012112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002012112013 is an equidigital number, since it uses as much as digits as its factorization.

10002012112013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10002012112013 its reverse (31021121020001), we get a palindrome (41023133132014).

The spelling of 10002012112013 in words is "ten trillion, two billion, twelve million, one hundred twelve thousand, thirteen".