1013133231123 has 64 divisors (see below), whose sum is σ = 1594117324800. Its totient is φ = 566399047680.

The previous prime is 1013133231113. The next prime is 1013133231211. The reversal of 1013133231123 is 3211323313101.

1013133231123 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 1013133231123 - 2⁹ = 1013133230611 is a prime.

It is a super-2 number, since 2×1013133231123² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013133231093 and 1013133231102.

It is not an unprimeable number, because it can be changed into a prime (1013133231113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7931758 + ... + 8058476.

It is an arithmetic number, because the mean of its divisors is an integer number (24908083200).

Almost surely, 2^{1013133231123} is an apocalyptic number.

1013133231123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1013133231123 is a deficient number, since it is larger than the sum of its proper divisors (580984093677).

1013133231123 is a wasteful number, since it uses less digits than its factorization.

1013133231123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127172.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1013133231123 its reverse (3211323313101), we get a palindrome (4224456544224).

The spelling of 1013133231123 in words is "one trillion, thirteen billion, one hundred thirty-three million, two hundred thirty-one thousand, one hundred twenty-three".