1013251424031 has 144 divisors (see below), whose sum is σ = 1948379614272. Its totient is φ = 494975416320.

The previous prime is 1013251424021. The next prime is 1013251424111. The reversal of 1013251424031 is 1304241523101.

1013251424031 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 251 + 4 + 2 + 403 + 1 = 666.

It is not a de Polignac number, because 1013251424031 - 2¹¹ = 1013251421983 is a prime.

It is a super-2 number, since 2×1013251424031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013251423986 and 1013251424004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013251424011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 193476745 + ... + 193481981.

It is an arithmetic number, because the mean of its divisors is an integer number (13530413988).

Almost surely, 2^{1013251424031} is an apocalyptic number.

1013251424031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013251424031 is a deficient number, since it is larger than the sum of its proper divisors (935128190241).

1013251424031 is a wasteful number, since it uses less digits than its factorization.

1013251424031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782 (or 6768 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1013251424031 its reverse (1304241523101), we get a palindrome (2317492947132).

The spelling of 1013251424031 in words is "one trillion, thirteen billion, two hundred fifty-one million, four hundred twenty-four thousand, thirty-one".