1013138413101 has 24 divisors (see below), whose sum is σ = 1503143919264. Its totient is φ = 657096611040.

The previous prime is 1013138413099. The next prime is 1013138413109. The reversal of 1013138413101 is 1013148313101.

1013138413101 is a `hidden beast` number, since 1 + 0 + 13 + 138 + 413 + 101 = 666.

It is not a de Polignac number, because 1013138413101 - 2¹ = 1013138413099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013138413109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2859970 + ... + 3194636.

It is an arithmetic number, because the mean of its divisors is an integer number (62630996636).

Almost surely, 2^{1013138413101} is an apocalyptic number.

It is an amenable number.

1013138413101 is a deficient number, since it is larger than the sum of its proper divisors (490005506163).

1013138413101 is a wasteful number, since it uses less digits than its factorization.

1013138413101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343801 (or 343798 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1013138413101 in words is "one trillion, thirteen billion, one hundred thirty-eight million, four hundred thirteen thousand, one hundred one".