1013114113100 has 72 divisors (see below), whose sum is σ = 2296091374080. Its totient is φ = 387280111680.

The previous prime is 1013114113073. The next prime is 1013114113133. The reversal of 1013114113100 is 13114113101.

1013114113100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1013114113100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2386781 + ... + 2779019.

Almost surely, 2^{1013114113100} is an apocalyptic number.

1013114113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013114113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148045687040).

1013114113100 is an abundant number, since it is smaller than the sum of its proper divisors (1282977260980).

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

1013114113100 is a wasteful number, since it uses less digits than its factorization.

1013114113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393399 (or 393392 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1013114113100 its reverse (13114113101), we get a palindrome (1026228226201).

Subtracting from 1013114113100 its reverse (13114113101), we obtain a palindrome (999999999999).

The spelling of 1013114113100 in words is "one trillion, thirteen billion, one hundred fourteen million, one hundred thirteen thousand, one hundred".