1331613901800 has 3456 divisors, whose sum is σ = 6422888908800. Its totient is φ = 249792491520.

The previous prime is 1331613901771. The next prime is 1331613901801. The reversal of 1331613901800 is 81093161331.

1331613901800 is a `hidden beast` number, since 1 + 3 + 31 + 61 + 390 + 180 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331613901801) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 25124790574 + ... + 25124790626.

It is an arithmetic number, because the mean of its divisors is an integer number (1858474800).

Almost surely, 2^{1331613901800} is an apocalyptic number.

1331613901800 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 1331613901800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211444454400).

1331613901800 is an abundant number, since it is smaller than the sum of its proper divisors (5091275007000).

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

1331613901800 is a wasteful number, since it uses less digits than its factorization.

1331613901800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 1331613901800 in words is "one trillion, three hundred thirty-one billion, six hundred thirteen million, nine hundred one thousand, eight hundred".