10132012332013 has 16 divisors (see below), whose sum is σ = 11907060008256. Its totient is φ = 8499733079040.

The previous prime is 10132012331977. The next prime is 10132012332037. The reversal of 10132012332013 is 31023321023101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10132012332013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132012332073) 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, 10602420 + ... + 11518477.

It is an arithmetic number, because the mean of its divisors is an integer number (744191250516).

Almost surely, 2^{10132012332013} is an apocalyptic number.

10132012332013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10132012332013 is a deficient number, since it is larger than the sum of its proper divisors (1775047676243).

10132012332013 is a wasteful number, since it uses less digits than its factorization.

10132012332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22124124.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10132012332013 its reverse (31023321023101), we get a palindrome (41155333355114).

The spelling of 10132012332013 in words is "ten trillion, one hundred thirty-two billion, twelve million, three hundred thirty-two thousand, thirteen".