13101310233312 has 384 divisors, whose sum is σ = 42345678348288. Its totient is φ = 3467435212800.

The previous prime is 13101310233307. The next prime is 13101310233377. The reversal of 13101310233312 is 21333201310131.

13101310233312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 45123228 + ... + 45412644.

It is an arithmetic number, because the mean of its divisors is an integer number (110275204032).

Almost surely, 2^{13101310233312} is an apocalyptic number.

13101310233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101310233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21172839174144).

13101310233312 is an abundant number, since it is smaller than the sum of its proper divisors (29244368114976).

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

13101310233312 is a wasteful number, since it uses less digits than its factorization.

13101310233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289562 (or 289554 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13101310233312 its reverse (21333201310131), we get a palindrome (34434511543443).

The spelling of 13101310233312 in words is "thirteen trillion, one hundred one billion, three hundred ten million, two hundred thirty-three thousand, three hundred twelve".