1020400331 has 2 divisors, whose sum is σ = 1020400332. Its totient is φ = 1020400330.

The previous prime is 1020400321. The next prime is 1020400369. The reversal of 1020400331 is 1330040201.

1020400331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1020400331 - 2²² = 1016206027 is a prime.

It is a super-2 number, since 2×1020400331² = 2082433671009819122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1020400321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510200165 + 510200166.

It is an arithmetic number, because the mean of its divisors is an integer number (510200166).

Almost surely, 2^1020400331 is an apocalyptic number.

1020400331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020400331 is an equidigital number, since it uses as much as digits as its factorization.

1020400331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1020400331 is about 31943.7056554183. The cubic root of 1020400331 is about 1006.7543858890.

Adding to 1020400331 its reverse (1330040201), we get a palindrome (2350440532).

The spelling of 1020400331 in words is "one billion, twenty million, four hundred thousand, three hundred thirty-one".