1013113101 has 32 divisors (see below), whose sum is σ = 1813690368. Its totient is φ = 485807040.

The previous prime is 1013113099. The next prime is 1013113103.

1013113101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1013113099) and next prime (1013113103).

It is not a de Polignac number, because 1013113101 - 2¹ = 1013113099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013113103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165681 + ... + 171686.

It is an arithmetic number, because the mean of its divisors is an integer number (56677824).

Almost surely, 2^1013113101 is an apocalyptic number.

1013113101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013113101 is a deficient number, since it is larger than the sum of its proper divisors (800577267).

1013113101 is a wasteful number, since it uses less digits than its factorization.

1013113101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337401.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1013113101 is about 31829.4376481898. The cubic root of 1013113101 is about 1004.3520657140.

It can be divided in two parts, 10131 and 13101, that added together give a palindrome (23232).

The spelling of 1013113101 in words is "one billion, thirteen million, one hundred thirteen thousand, one hundred one".