1300400100 has 108 divisors (see below), whose sum is σ = 4132076676. Its totient is φ = 342005760.

The previous prime is 1300400083. The next prime is 1300400131. The reversal of 1300400100 is 10040031.

It can be written as a sum of positive squares in 6 ways, for example, as 3968064 + 1296432036 = 1992^2 + 36006^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55804 + ... + 75596.

Almost surely, 2^1300400100 is an apocalyptic number.

1300400100 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 1300400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066038338).

1300400100 is an abundant number, since it is smaller than the sum of its proper divisors (2831676576).

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

1300400100 is a wasteful number, since it uses less digits than its factorization.

1300400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19886 (or 19876 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1300400100 is about 36061.0607165125. The cubic root of 1300400100 is about 1091.5048372926.

Adding to 1300400100 its reverse (10040031), we get a palindrome (1310440131).

The spelling of 1300400100 in words is "one billion, three hundred million, four hundred thousand, one hundred".