1020220013000 has 64 divisors (see below), whose sum is σ = 2464325061120. Its totient is φ = 394923864000.

The previous prime is 1020220012979. The next prime is 1020220013003. The reversal of 1020220013000 is 3100220201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1020220013003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16424162 + ... + 16486161.

It is an arithmetic number, because the mean of its divisors is an integer number (38505079080).

Almost surely, 2^{1020220013000} is an apocalyptic number.

1020220013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020220013000 is an abundant number, since it is smaller than the sum of its proper divisors (1444105048120).

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

1020220013000 is a wasteful number, since it uses less digits than its factorization.

1020220013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32910375 (or 32910361 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1020220013000 its reverse (3100220201), we get a palindrome (1023320233201).

The spelling of 1020220013000 in words is "one trillion, twenty billion, two hundred twenty million, thirteen thousand".