101001212132013 has 32 divisors (see below), whose sum is σ = 149918809687680. Its totient is φ = 67204920585600.

The previous prime is 101001212132003. The next prime is 101001212132081. The reversal of 101001212132013 is 310231212100101.

It is not a de Polignac number, because 101001212132013 - 2¹⁰ = 101001212130989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001212132003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34226770 + ... + 37060412.

It is an arithmetic number, because the mean of its divisors is an integer number (4684962802740).

Almost surely, 2^{101001212132013} is an apocalyptic number.

It is an amenable number.

101001212132013 is a deficient number, since it is larger than the sum of its proper divisors (48917597555667).

101001212132013 is a wasteful number, since it uses less digits than its factorization.

101001212132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836186 (or 2836180 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101001212132013 its reverse (310231212100101), we get a palindrome (411232424232114).

The spelling of 101001212132013 in words is "one hundred one trillion, one billion, two hundred twelve million, one hundred thirty-two thousand, thirteen".