1020033312000 has 144 divisors (see below), whose sum is σ = 3388040964672. Its totient is φ = 272008857600.

The previous prime is 1020033311981. The next prime is 1020033312071. The reversal of 1020033312000 is 2133300201.

1020033312000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 5216674 + ... + 5408673.

Almost surely, 2^{1020033312000} is an apocalyptic number.

1020033312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020033312000 is an abundant number, since it is smaller than the sum of its proper divisors (2368007652672).

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

1020033312000 is an equidigital number, since it uses as much as digits as its factorization.

1020033312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10625381 (or 10625357 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1020033312000 its reverse (2133300201), we get a palindrome (1022166612201).

The spelling of 1020033312000 in words is "one trillion, twenty billion, thirty-three million, three hundred twelve thousand".