1013013131 has 8 divisors (see below), whose sum is σ = 1093279824. Its totient is φ = 933081120.

The previous prime is 1013013109. The next prime is 1013013179. The reversal of 1013013131 is 1313103101.

It is a happy number.

1013013131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1013013131 - 2¹⁸ = 1012750987 is a prime.

It is a super-2 number, since 2×1013013131² = 2052391207156846322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013013431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77360 + ... + 89501.

It is an arithmetic number, because the mean of its divisors is an integer number (136659978).

Almost surely, 2^1013013131 is an apocalyptic number.

1013013131 is a deficient number, since it is larger than the sum of its proper divisors (80266693).

1013013131 is a wasteful number, since it uses less digits than its factorization.

1013013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167341.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1013013131 is about 31827.8672078416. The cubic root of 1013013131 is about 1004.3190294621.

Adding to 1013013131 its reverse (1313103101), we get a palindrome (2326116232).

The spelling of 1013013131 in words is "one billion, thirteen million, thirteen thousand, one hundred thirty-one".