1300023100 has 72 divisors (see below), whose sum is σ = 2867677568. Its totient is φ = 511488000.

The previous prime is 1300023097. The next prime is 1300023113. The reversal of 1300023100 is 13200031.

It is a super-2 number, since 2×1300023100² = 3380120121067220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

1300023100 is a modest number, since divided by 23100 gives 1300 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2162800 + ... + 2163400.

Almost surely, 2^1300023100 is an apocalyptic number.

1300023100 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 1300023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433838784).

1300023100 is an abundant number, since it is smaller than the sum of its proper divisors (1567654468).

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

1300023100 is a wasteful number, since it uses less digits than its factorization.

1300023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1300023100 is about 36055.8330925802. The cubic root of 1300023100 is about 1091.3993474268.

Adding to 1300023100 its reverse (13200031), we get a palindrome (1313223131).

It can be divided in two parts, 13000 and 23100, that added together give a square (36100 = 190²).

The spelling of 1300023100 in words is "one billion, three hundred million, twenty-three thousand, one hundred".