1020132010431 has 42 divisors (see below), whose sum is σ = 1535411922408. Its totient is φ = 677468632680.

The previous prime is 1020132010421. The next prime is 1020132010451. The reversal of 1020132010431 is 1340102310201.

1020132010431 is a `hidden beast` number, since 1 + 0 + 20 + 13 + 201 + 0 + 431 = 666.

It is not a de Polignac number, because 1020132010431 - 2¹⁴ = 1020131994047 is a prime.

It is a super-2 number, since 2×1020132010431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020132010421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 50414086 + ... + 50434316.

It is an arithmetic number, because the mean of its divisors is an integer number (36557426724).

Almost surely, 2^{1020132010431} is an apocalyptic number.

1020132010431 is a deficient number, since it is larger than the sum of its proper divisors (515279911977).

1020132010431 is an frugal number, since it uses more digits than its factorization.

1020132010431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20775 (or 20497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1020132010431 its reverse (1340102310201), we get a palindrome (2360234320632).

The spelling of 1020132010431 in words is "one trillion, twenty billion, one hundred thirty-two million, ten thousand, four hundred thirty-one".