1013131005 has 32 divisors (see below), whose sum is σ = 1653644160. Its totient is φ = 529524480.

The previous prime is 1013130971. The next prime is 1013131073. The reversal of 1013131005 is 5001313101.

It is not a de Polignac number, because 1013131005 - 2⁹ = 1013130493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266206 + ... + 269984.

It is an arithmetic number, because the mean of its divisors is an integer number (51676380).

Almost surely, 2^1013131005 is an apocalyptic number.

1013131005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1013131005 is a deficient number, since it is larger than the sum of its proper divisors (640513155).

1013131005 is a wasteful number, since it uses less digits than its factorization.

1013131005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 1013131005 is about 31829.7188960255. The cubic root of 1013131005 is about 1004.3579820700.

Adding to 1013131005 its reverse (5001313101), we get a palindrome (6014444106).

The spelling of 1013131005 in words is "one billion, thirteen million, one hundred thirty-one thousand, five".