1331033401152 has 896 divisors, whose sum is σ = 5053457203200. Its totient is φ = 334081843200.

The previous prime is 1331033401073. The next prime is 1331033401169. The reversal of 1331033401152 is 2511043301331.

1331033401152 is a `hidden beast` number, since 1 + 3 + 3 + 103 + 3 + 401 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 323771577 + ... + 323775687.

It is an arithmetic number, because the mean of its divisors is an integer number (5640019200).

Almost surely, 2^{1331033401152} is an apocalyptic number.

1331033401152 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 1331033401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526728601600).

1331033401152 is an abundant number, since it is smaller than the sum of its proper divisors (3722423802048).

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

1331033401152 is a wasteful number, since it uses less digits than its factorization.

1331033401152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1331033401152 its reverse (2511043301331), we get a palindrome (3842076702483).

The spelling of 1331033401152 in words is "one trillion, three hundred thirty-one billion, thirty-three million, four hundred one thousand, one hundred fifty-two".