1020133000000 has 294 divisors, whose sum is σ = 2622799201178. Its totient is φ = 393657600000.

The previous prime is 1020132999967. The next prime is 1020133000039. The reversal of 1020133000000 is 3310201.

It can be written as a sum of positive squares in 21 ways, for example, as 222383923776 + 797749076224 = 471576^2 + 893168^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 840999394 + ... + 841000606.

Almost surely, 2^{1020133000000} is an apocalyptic number.

1020133000000 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 1020133000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311399600589).

1020133000000 is an abundant number, since it is smaller than the sum of its proper divisors (1602666201178).

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

1020133000000 is an frugal number, since it uses more digits than its factorization.

1020133000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 1020133000000 its reverse (3310201), we get a palindrome (1020136310201).

It can be divided in two parts, 102013 and 3000000, that added together give a palindrome (3102013).

The spelling of 1020133000000 in words is "one trillion, twenty billion, one hundred thirty-three million", and thus it is an aban number.