1331020042000 has 160 divisors (see below), whose sum is σ = 3516589709568. Its totient is φ = 483235200000.

The previous prime is 1331020041931. The next prime is 1331020042021. The reversal of 1331020042000 is 2400201331.

It is a happy number.

It is a super-2 number, since 2×1331020042000² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13834060 + ... + 13929940.

Almost surely, 2^{1331020042000} is an apocalyptic number.

1331020042000 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 1331020042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758294854784).

1331020042000 is an abundant number, since it is smaller than the sum of its proper divisors (2185569667568).

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

1331020042000 is a wasteful number, since it uses less digits than its factorization.

1331020042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96546 (or 96530 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1331020042000 its reverse (2400201331), we get a palindrome (1333420243331).

The spelling of 1331020042000 in words is "one trillion, three hundred thirty-one billion, twenty million, forty-two thousand".