1013011131 has 16 divisors (see below), whose sum is σ = 1475516160. Its totient is φ = 613093920.

The previous prime is 1013011121. The next prime is 1013011159. The reversal of 1013011131 is 1311103101.

It is not a de Polignac number, because 1013011131 - 2⁹ = 1013010619 is a prime.

It is a super-2 number, since 2×1013011131² = 2052383103059798322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013011121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3250 + ... + 45128.

It is an arithmetic number, because the mean of its divisors is an integer number (92219760).

Almost surely, 2^1013011131 is an apocalyptic number.

1013011131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013011131 is a deficient number, since it is larger than the sum of its proper divisors (462505029).

1013011131 is a wasteful number, since it uses less digits than its factorization.

1013011131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42626.

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

The square root of 1013011131 is about 31827.8357888186. The cubic root of 1013011131 is about 1004.3183685166.

Adding to 1013011131 its reverse (1311103101), we get a palindrome (2324114232).

The spelling of 1013011131 in words is "one billion, thirteen million, eleven thousand, one hundred thirty-one".