1301113311000 has 256 divisors, whose sum is σ = 4163838981120. Its totient is φ = 338065280000.

The previous prime is 1301113310969. The next prime is 1301113311037. The reversal of 1301113311000 is 1133111031.

It is a super-2 number, since 2×1301113311000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 101714605 + ... + 101727395.

It is an arithmetic number, because the mean of its divisors is an integer number (16264996020).

Almost surely, 2^{1301113311000} is an apocalyptic number.

1301113311000 is a gapful number since it is divisible by the number (10) 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 1301113311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081919490560).

1301113311000 is an abundant number, since it is smaller than the sum of its proper divisors (2862725670120).

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

1301113311000 is a wasteful number, since it uses less digits than its factorization.

1301113311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13683 (or 13669 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1301113311000 its reverse (1133111031), we get a palindrome (1302246422031).

The spelling of 1301113311000 in words is "one trillion, three hundred one billion, one hundred thirteen million, three hundred eleven thousand".