1331210113002 has 192 divisors, whose sum is σ = 3786325171200. Its totient is φ = 327478256640.

The previous prime is 1331210112941. The next prime is 1331210113007. The reversal of 1331210113002 is 2003110121331.

1331210113002 is a `hidden beast` number, since 1 + 331 + 21 + 0 + 11 + 300 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1331210113007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178514458 + ... + 178521914.

It is an arithmetic number, because the mean of its divisors is an integer number (19720443600).

Almost surely, 2^{1331210113002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331210113002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893162585600).

1331210113002 is an abundant number, since it is smaller than the sum of its proper divisors (2455115058198).

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

1331210113002 is a wasteful number, since it uses less digits than its factorization.

1331210113002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14281 (or 14278 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1331210113002 its reverse (2003110121331), we get a palindrome (3334320234333).

The spelling of 1331210113002 in words is "one trillion, three hundred thirty-one billion, two hundred ten million, one hundred thirteen thousand, two".