1020311001332 has 96 divisors (see below), whose sum is σ = 2255453061120. Its totient is φ = 393511472640.

The previous prime is 1020311001271. The next prime is 1020311001397. The reversal of 1020311001332 is 2331001130201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1020311001332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31503107 + ... + 31535477.

It is an arithmetic number, because the mean of its divisors is an integer number (23494302720).

Almost surely, 2^{1020311001332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020311001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127726530560).

1020311001332 is an abundant number, since it is smaller than the sum of its proper divisors (1235142059788).

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

1020311001332 is a wasteful number, since it uses less digits than its factorization.

1020311001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35301 (or 35299 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1020311001332 its reverse (2331001130201), we get a palindrome (3351312131533).

The spelling of 1020311001332 in words is "one trillion, twenty billion, three hundred eleven million, one thousand, three hundred thirty-two".