1013114100 has 144 divisors (see below), whose sum is σ = 3100801536. Its totient is φ = 254976000.

The previous prime is 1013114087. The next prime is 1013114107. The reversal of 1013114100 is 14113101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013114107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379972 + ... + 382628.

It is an arithmetic number, because the mean of its divisors is an integer number (21533344).

Almost surely, 2^1013114100 is an apocalyptic number.

1013114100 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 1013114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550400768).

1013114100 is an abundant number, since it is smaller than the sum of its proper divisors (2087687436).

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

1013114100 is a wasteful number, since it uses less digits than its factorization.

1013114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1013114100 is about 31829.4533412058. The cubic root of 1013114100 is about 1004.3523958342.

Adding to 1013114100 its reverse (14113101), we get a palindrome (1027227201).

Subtracting from 1013114100 its reverse (14113101), we obtain a palindrome (999000999).

The spelling of 1013114100 in words is "one billion, thirteen million, one hundred fourteen thousand, one hundred".