1020413330 has 32 divisors (see below), whose sum is σ = 1883973168. Its totient is φ = 397696000.

The previous prime is 1020413327. The next prime is 1020413333. The reversal of 1020413330 is 333140201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1020413327) and next prime (1020413333).

It can be written as a sum of positive squares in 8 ways, for example, as 71588521 + 948824809 = 8461^2 + 30803^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020413299 and 1020413308.

It is not an unprimeable number, because it can be changed into a prime (1020413333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532454 + ... + 534366.

Almost surely, 2^1020413330 is an apocalyptic number.

1020413330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020413330 is a deficient number, since it is larger than the sum of its proper divisors (863559838).

1020413330 is a wasteful number, since it uses less digits than its factorization.

1020413330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1020413330 is about 31943.9091220846. The cubic root of 1020413330 is about 1006.7586609251.

Adding to 1020413330 its reverse (333140201), we get a palindrome (1353553531).

The spelling of 1020413330 in words is "one billion, twenty million, four hundred thirteen thousand, three hundred thirty".