1020348307431 has 64 divisors (see below), whose sum is σ = 1543329792000. Its totient is φ = 666063272160.

The previous prime is 1020348307427. The next prime is 1020348307439. The reversal of 1020348307431 is 1347038430201.

1020348307431 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 348 + 307 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 1020348307431 - 2² = 1020348307427 is a prime.

It is a super-2 number, since 2×1020348307431² (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 (1020348307439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 699346980 + ... + 699348438.

It is an arithmetic number, because the mean of its divisors is an integer number (24114528000).

Almost surely, 2^{1020348307431} is an apocalyptic number.

1020348307431 is a deficient number, since it is larger than the sum of its proper divisors (522981484569).

1020348307431 is a wasteful number, since it uses less digits than its factorization.

1020348307431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1020348307431 in words is "one trillion, twenty billion, three hundred forty-eight million, three hundred seven thousand, four hundred thirty-one".