1301113113312 has 96 divisors (see below), whose sum is σ = 3532527452160. Its totient is φ = 418888834560.

The previous prime is 1301113113299. The next prime is 1301113113361. The reversal of 1301113113312 is 2133113111031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085313 + ... + 1944255.

It is an arithmetic number, because the mean of its divisors is an integer number (36797160960).

Almost surely, 2^{1301113113312} is an apocalyptic number.

1301113113312 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 1301113113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766263726080).

1301113113312 is an abundant number, since it is smaller than the sum of its proper divisors (2231414338848).

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

1301113113312 is a wasteful number, since it uses less digits than its factorization.

1301113113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859496 (or 859488 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 1301113113312 its reverse (2133113111031), we get a palindrome (3434226224343).

It can be divided in two parts, 130111 and 3113312, that added together give a palindrome (3243423).

The spelling of 1301113113312 in words is "one trillion, three hundred one billion, one hundred thirteen million, one hundred thirteen thousand, three hundred twelve".