1022001013320 has 256 divisors, whose sum is σ = 3525178060800. Its totient is φ = 232192957440.

The previous prime is 1022001013301. The next prime is 1022001013379. The reversal of 1022001013320 is 233101002201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1022001013320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95589175 + ... + 95599865.

It is an arithmetic number, because the mean of its divisors is an integer number (13770226800).

Almost surely, 2^{1022001013320} is an apocalyptic number.

1022001013320 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 1022001013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762589030400).

1022001013320 is an abundant number, since it is smaller than the sum of its proper divisors (2503177047480).

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

1022001013320 is a wasteful number, since it uses less digits than its factorization.

1022001013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11388 (or 11384 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1022001013320 its reverse (233101002201), we get a palindrome (1255102015521).

The spelling of 1022001013320 in words is "one trillion, twenty-two billion, one million, thirteen thousand, three hundred twenty".