1013138413100 has 72 divisors (see below), whose sum is σ = 2420789934528. Its totient is φ = 364970804800.

The previous prime is 1013138413099. The next prime is 1013138413109. The reversal of 1013138413100 is 13148313101.

It is a super-2 number, since 2×1013138413100² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1013138413100.

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, 4186202 + ... + 4421601.

It is an arithmetic number, because the mean of its divisors is an integer number (33622082424).

Almost surely, 2^{1013138413100} is an apocalyptic number.

1013138413100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013138413100 is an abundant number, since it is smaller than the sum of its proper divisors (1407651521428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013138413100 is a wasteful number, since it uses less digits than its factorization.

1013138413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8607935 (or 8607928 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Subtracting from 1013138413100 its reverse (13148313101), we obtain a palindrome (999990099999).

The spelling of 1013138413100 in words is "one trillion, thirteen billion, one hundred thirty-eight million, four hundred thirteen thousand, one hundred".