1020132024345 has 36 divisors (see below), whose sum is σ = 2056919269860. Its totient is φ = 466346067264.

The previous prime is 1020132024343. The next prime is 1020132024347. The reversal of 1020132024345 is 5434202310201.

1020132024345 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 3 + 202 + 434 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1020132024343) and next prime (1020132024347).

It can be written as a sum of positive squares in 2 ways, for example, as 336618115344 + 683513909001 = 580188^2 + 826749^2 .

It is not a de Polignac number, because 1020132024345 - 2¹ = 1020132024343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020132024343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231320250 + ... + 231324659.

It is an arithmetic number, because the mean of its divisors is an integer number (57136646385).

Almost surely, 2^{1020132024345} is an apocalyptic number.

1020132024345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020132024345 is an abundant number, since it is smaller than the sum of its proper divisors (1036787245515).

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

1020132024345 is a wasteful number, since it uses less digits than its factorization.

1020132024345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462644934 (or 462644924 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1020132024345 its reverse (5434202310201), we get a palindrome (6454334334546).

The spelling of 1020132024345 in words is "one trillion, twenty billion, one hundred thirty-two million, twenty-four thousand, three hundred forty-five".