13013313233010 has 128 divisors (see below), whose sum is σ = 32994947082240. Its totient is φ = 3275661772800.

The previous prime is 13013313232963. The next prime is 13013313233027. The reversal of 13013313233010 is 1033231331031.

It is a super-3 number, since 3×13013313233010³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475601730 + ... + 475629090.

It is an arithmetic number, because the mean of its divisors is an integer number (257773024080).

Almost surely, 2^{13013313233010} is an apocalyptic number.

13013313233010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13013313233010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16497473541120).

13013313233010 is an abundant number, since it is smaller than the sum of its proper divisors (19981633849230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13013313233010 is a wasteful number, since it uses less digits than its factorization.

13013313233010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30384.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13013313233010 its reverse (1033231331031), we get a palindrome (14046544564041).

The spelling of 13013313233010 in words is "thirteen trillion, thirteen billion, three hundred thirteen million, two hundred thirty-three thousand, ten".