1330021132000 has 384 divisors, whose sum is σ = 3699597597696. Its totient is φ = 465696000000.

The previous prime is 1330021131977. The next prime is 1330021132001. The reversal of 1330021132000 is 2311200331.

It is a super-2 number, since 2×1330021132000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330021132001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134327050 + ... + 134336950.

It is an arithmetic number, because the mean of its divisors is an integer number (9634368744).

Almost surely, 2^{1330021132000} is an apocalyptic number.

1330021132000 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 1330021132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849798798848).

1330021132000 is an abundant number, since it is smaller than the sum of its proper divisors (2369576465696).

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

1330021132000 is a wasteful number, since it uses less digits than its factorization.

1330021132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10051 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1330021132000 its reverse (2311200331), we get a palindrome (1332332332331).

The spelling of 1330021132000 in words is "one trillion, three hundred thirty billion, twenty-one million, one hundred thirty-two thousand".