1013311023 has 32 divisors (see below), whose sum is σ = 1475131392. Its totient is φ = 616915200.

The previous prime is 1013311007. The next prime is 1013311037. The reversal of 1013311023 is 3201133101.

It is not a de Polignac number, because 1013311023 - 2⁴ = 1013311007 is a prime.

It is a super-3 number, since 3×1013311023³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013310993 and 1013311011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013311063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129153 + ... + 136773.

It is an arithmetic number, because the mean of its divisors is an integer number (46097856).

Almost surely, 2^1013311023 is an apocalyptic number.

1013311023 is a deficient number, since it is larger than the sum of its proper divisors (461820369).

1013311023 is a wasteful number, since it uses less digits than its factorization.

1013311023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7735.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1013311023 is about 31832.5465993533. The cubic root of 1013311023 is about 1004.4174649361.

Adding to 1013311023 its reverse (3201133101), we get a palindrome (4214444124).

The spelling of 1013311023 in words is "one billion, thirteen million, three hundred eleven thousand, twenty-three".