10122132020013 has 64 divisors (see below), whose sum is σ = 17999187091200. Its totient is φ = 5554034749440.

The previous prime is 10122132020003. The next prime is 10122132020023. The reversal of 10122132020013 is 31002023122101.

10122132020013 is a `hidden beast` number, since 10 + 122 + 1 + 320 + 200 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (10122132020003) and next prime (10122132020023).

It is not a de Polignac number, because 10122132020013 - 2⁹ = 10122132019501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122132020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44527468 + ... + 44754213.

It is an arithmetic number, because the mean of its divisors is an integer number (281237298300).

Almost surely, 2^{10122132020013} is an apocalyptic number.

10122132020013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10122132020013 is a deficient number, since it is larger than the sum of its proper divisors (7877055071187).

10122132020013 is a wasteful number, since it uses less digits than its factorization.

10122132020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89281739 (or 89281733 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10122132020013 its reverse (31002023122101), we get a palindrome (41124155142114).

The spelling of 10122132020013 in words is "ten trillion, one hundred twenty-two billion, one hundred thirty-two million, twenty thousand, thirteen".