1002100131032 has 128 divisors (see below), whose sum is σ = 2523479132160. Its totient is φ = 360294289920.

The previous prime is 1002100131007. The next prime is 1002100131041. The reversal of 1002100131032 is 2301310012001.

It is a super-2 number, since 2×1002100131032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1002100130998 and 1002100131016.

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, 32120513 + ... + 32151695.

It is an arithmetic number, because the mean of its divisors is an integer number (19714680720).

Almost surely, 2^{1002100131032} 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 1002100131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261739566080).

1002100131032 is an abundant number, since it is smaller than the sum of its proper divisors (1521379001128).

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

1002100131032 is a wasteful number, since it uses less digits than its factorization.

1002100131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35233 (or 35229 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1002100131032 its reverse (2301310012001), we get a palindrome (3303410143033).

The spelling of 1002100131032 in words is "one trillion, two billion, one hundred million, one hundred thirty-one thousand, thirty-two".