1333102113000 has 384 divisors, whose sum is σ = 5234017501440. Its totient is φ = 299712960000.

The previous prime is 1333102112999. The next prime is 1333102113011. The reversal of 1333102113000 is 3112013331.

It is a happy number.

1333102113000 is a `hidden beast` number, since 1 + 33 + 310 + 21 + 1 + 300 + 0 = 666.

It is a super-2 number, since 2×1333102113000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3669555 + ... + 4016445.

It is an arithmetic number, because the mean of its divisors is an integer number (13630253910).

Almost surely, 2^{1333102113000} is an apocalyptic number.

1333102113000 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 1333102113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617008750720).

1333102113000 is an abundant number, since it is smaller than the sum of its proper divisors (3900915388440).

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

1333102113000 is a wasteful number, since it uses less digits than its factorization.

1333102113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346986 (or 346969 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1333102113000 its reverse (3112013331), we get a palindrome (1336214126331).

The spelling of 1333102113000 in words is "one trillion, three hundred thirty-three billion, one hundred two million, one hundred thirteen thousand".