1033100420 has 144 divisors (see below), whose sum is σ = 2522548224. Its totient is φ = 354604800.

The previous prime is 1033100399. The next prime is 1033100441. The reversal of 1033100420 is 240013301.

It is an interprime number because it is at equal distance from previous prime (1033100399) and next prime (1033100441).

It is a junction number, because it is equal to n+sod(n) for n = 1033100395 and 1033100404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3525794 + ... + 3526086.

It is an arithmetic number, because the mean of its divisors is an integer number (17517696).

Almost surely, 2^1033100420 is an apocalyptic number.

1033100420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261274112).

1033100420 is an abundant number, since it is smaller than the sum of its proper divisors (1489447804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1033100420 is a wasteful number, since it uses less digits than its factorization.

1033100420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 389 counting only the distinct ones).

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

The square root of 1033100420 is about 32141.8795343396. The cubic root of 1033100420 is about 1010.9139262149.

Adding to 1033100420 its reverse (240013301), we get a palindrome (1273113721).

The spelling of 1033100420 in words is "one billion, thirty-three million, one hundred thousand, four hundred twenty".