1020131514529 has 2 divisors, whose sum is σ = 1020131514530. Its totient is φ = 1020131514528.

The previous prime is 1020131514469. The next prime is 1020131514539. The reversal of 1020131514529 is 9254151310201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 632685022225 + 387446492304 = 795415^2 + 622452^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020131514529 - 2¹⁷ = 1020131383457 is a prime.

It is a super-3 number, since 3×1020131514529³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020131514494 and 1020131514503.

It is not a weakly prime, because it can be changed into another prime (1020131514539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510065757264 + 510065757265.

It is an arithmetic number, because the mean of its divisors is an integer number (510065757265).

Almost surely, 2^{1020131514529} is an apocalyptic number.

It is an amenable number.

1020131514529 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020131514529 is an equidigital number, since it uses as much as digits as its factorization.

1020131514529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 1020131514529 in words is "one trillion, twenty billion, one hundred thirty-one million, five hundred fourteen thousand, five hundred twenty-nine".