1013320133306 has 16 divisors (see below), whose sum is σ = 1636919831400. Its totient is φ = 467681050368.

The previous prime is 1013320133291. The next prime is 1013320133321. The reversal of 1013320133306 is 6033310233101.

It is an interprime number because it is at equal distance from previous prime (1013320133291) and next prime (1013320133321).

It can be written as a sum of positive squares in 4 ways, for example, as 774972105625 + 238348027681 = 880325^2 + 488209^2 .

It is a super-2 number, since 2×1013320133306² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3217310 + ... + 3518198.

Almost surely, 2^{1013320133306} is an apocalyptic number.

1013320133306 is a deficient number, since it is larger than the sum of its proper divisors (623599698094).

1013320133306 is a wasteful number, since it uses less digits than its factorization.

1013320133306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430433.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 1013320133306 its reverse (6033310233101), we get a palindrome (7046630366407).

The spelling of 1013320133306 in words is "one trillion, thirteen billion, three hundred twenty million, one hundred thirty-three thousand, three hundred six".