1301110400 has 192 divisors, whose sum is σ = 3378533760. Its totient is φ = 494592000.

The previous prime is 1301110397. The next prime is 1301110427. The reversal of 1301110400 is 40111031.

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, 6166295 + ... + 6166505.

It is an arithmetic number, because the mean of its divisors is an integer number (17596530).

Almost surely, 2^1301110400 is an apocalyptic number.

1301110400 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 1301110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689266880).

1301110400 is an abundant number, since it is smaller than the sum of its proper divisors (2077423360).

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

1301110400 is a wasteful number, since it uses less digits than its factorization.

1301110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1301110400 is about 36070.9079453235. The cubic root of 1301110400 is about 1091.7035337730.

Adding to 1301110400 its reverse (40111031), we get a palindrome (1341221431).

The spelling of 1301110400 in words is "one billion, three hundred one million, one hundred ten thousand, four hundred".