1020310032321 has 12 divisors (see below), whose sum is σ = 1474643544660. Its totient is φ = 679808663520.

The previous prime is 1020310032311. The next prime is 1020310032347. The reversal of 1020310032321 is 1232300130201.

1020310032321 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 310 + 0 + 32 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 463711969296 + 556598063025 = 680964^2 + 746055^2 .

It is not a de Polignac number, because 1020310032321 - 2⁷ = 1020310032193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020310032294 and 1020310032303.

It is not an unprimeable number, because it can be changed into a prime (1020310032311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33152490 + ... + 33183251.

It is an arithmetic number, because the mean of its divisors is an integer number (122886962055).

Almost surely, 2^{1020310032321} is an apocalyptic number.

It is an amenable number.

1020310032321 is a deficient number, since it is larger than the sum of its proper divisors (454333512339).

1020310032321 is a wasteful number, since it uses less digits than its factorization.

1020310032321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66337456 (or 66337453 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1020310032321 its reverse (1232300130201), we get a palindrome (2252610162522).

The spelling of 1020310032321 in words is "one trillion, twenty billion, three hundred ten million, thirty-two thousand, three hundred twenty-one".