1013242131 has 24 divisors (see below), whose sum is σ = 1604678400. Its totient is φ = 610988400.

The previous prime is 1013242103. The next prime is 1013242133. The reversal of 1013242131 is 1312423101.

1013242131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1013242131 - 2¹⁸ = 1012979987 is a prime.

It is a super-2 number, since 2×1013242131² = 2053319232066842322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013242133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6015 + ... + 45416.

It is an arithmetic number, because the mean of its divisors is an integer number (66861600).

Almost surely, 2^1013242131 is an apocalyptic number.

1013242131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013242131 is a deficient number, since it is larger than the sum of its proper divisors (591436269).

1013242131 is a wasteful number, since it uses less digits than its factorization.

1013242131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51647 (or 51644 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1013242131 is about 31831.4644809189. The cubic root of 1013242131 is about 1004.3947019690.

Adding to 1013242131 its reverse (1312423101), we get a palindrome (2325665232).

The spelling of 1013242131 in words is "one billion, thirteen million, two hundred forty-two thousand, one hundred thirty-one".