1013313353 has 12 divisors (see below), whose sum is σ = 1098401868. Its totient is φ = 934390080.

The previous prime is 1013313341. The next prime is 1013313383. The reversal of 1013313353 is 3533133101.

It can be written as a sum of positive squares in 6 ways, for example, as 27164944 + 986148409 = 5212^2 + 31403^2 .

It is not a de Polignac number, because 1013313353 - 2⁶ = 1013313289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013313383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197051 + ... + 202127.

It is an arithmetic number, because the mean of its divisors is an integer number (91533489).

Almost surely, 2^1013313353 is an apocalyptic number.

1013313353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1013313353 is a deficient number, since it is larger than the sum of its proper divisors (85088515).

1013313353 is a wasteful number, since it uses less digits than its factorization.

1013313353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6284 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 23.

The square root of 1013313353 is about 31832.5831970954. The cubic root of 1013313353 is about 1004.4182347856.

Adding to 1013313353 its reverse (3533133101), we get a palindrome (4546446454).

The spelling of 1013313353 in words is "one billion, thirteen million, three hundred thirteen thousand, three hundred fifty-three".