1014113100 has 432 divisors, whose sum is σ = 3982356224. Its totient is φ = 193881600.

The previous prime is 1014113099. The next prime is 1014113101. The reversal of 1014113100 is 13114101.

It is an interprime number because it is at equal distance from previous prime (1014113099) and next prime (1014113101).

It is a super-2 number, since 2×1014113100² = 2056850759183220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1014113101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3303147 + ... + 3303453.

Almost surely, 2^1014113100 is an apocalyptic number.

1014113100 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 1014113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991178112).

1014113100 is an abundant number, since it is smaller than the sum of its proper divisors (2968243124).

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

1014113100 is a wasteful number, since it uses less digits than its factorization.

1014113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

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

The square root of 1014113100 is about 31845.1424867279. The cubic root of 1014113100 is about 1004.6824075061.

Adding to 1014113100 its reverse (13114101), we get a palindrome (1027227201).

The spelling of 1014113100 in words is "one billion, fourteen million, one hundred thirteen thousand, one hundred".