1321020034000 has 80 divisors (see below), whose sum is σ = 3217542631056. Its totient is φ = 524550912000.

The previous prime is 1321020033961. The next prime is 1321020034079. The reversal of 1321020034000 is 4300201231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 419629292944 + 901390741056 = 647788^2 + 949416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1321020034000² (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2136621 + ... + 2684620.

Almost surely, 2^{1321020034000} is an apocalyptic number.

1321020034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321020034000 is an abundant number, since it is smaller than the sum of its proper divisors (1896522597056).

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

1321020034000 is a wasteful number, since it uses less digits than its factorization.

1321020034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821401 (or 4821385 counting only the distinct ones).

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

Adding to 1321020034000 its reverse (4300201231), we get a palindrome (1325320235231).

The spelling of 1321020034000 in words is "one trillion, three hundred twenty-one billion, twenty million, thirty-four thousand".