1020413344132 has 96 divisors (see below), whose sum is σ = 2206015750400. Its totient is φ = 402176212992.

The previous prime is 1020413344127. The next prime is 1020413344157. The reversal of 1020413344132 is 2314433140201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1020413344132.

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, 121199419 + ... + 121207837.

Almost surely, 2^{1020413344132} 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 1020413344132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103007875200).

1020413344132 is an abundant number, since it is smaller than the sum of its proper divisors (1185602406268).

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

1020413344132 is a wasteful number, since it uses less digits than its factorization.

1020413344132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9645 (or 9643 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1020413344132 its reverse (2314433140201), we get a palindrome (3334846484333).

The spelling of 1020413344132 in words is "one trillion, twenty billion, four hundred thirteen million, three hundred forty-four thousand, one hundred thirty-two".