11390990001300 has 1296 divisors, whose sum is σ = 45533272402800. Its totient is φ = 2374570598400.

The previous prime is 11390990001247. The next prime is 11390990001329. The reversal of 11390990001300 is 310009909311.

It can be written as a sum of positive squares in 24 ways, for example, as 10713746590596 + 677243410704 = 3273186^2 + 822948^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8623004640 + ... + 8623005960.

Almost surely, 2^{11390990001300} is an apocalyptic number.

11390990001300 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 11390990001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766636201400).

11390990001300 is an abundant number, since it is smaller than the sum of its proper divisors (34142282401500).

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

11390990001300 is a wasteful number, since it uses less digits than its factorization.

11390990001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

The spelling of 11390990001300 in words is "eleven trillion, three hundred ninety billion, nine hundred ninety million, one thousand, three hundred".