13005153310 has 16 divisors (see below), whose sum is σ = 24041959776. Its totient is φ = 5061464928.

The previous prime is 13005153257. The next prime is 13005153319. The reversal of 13005153310 is 1335150031.

It is a super-2 number, since 2×13005153310² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005153319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17574162 + ... + 17574901.

It is an arithmetic number, because the mean of its divisors is an integer number (1502622486).

Almost surely, 2^13005153310 is an apocalyptic number.

13005153310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13005153310 is a deficient number, since it is larger than the sum of its proper divisors (11036806466).

13005153310 is a wasteful number, since it uses less digits than its factorization.

13005153310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35149107.

The product of its (nonzero) digits is 675, while the sum is 22.

The spelling of 13005153310 in words is "thirteen billion, five million, one hundred fifty-three thousand, three hundred ten".