1301042100 has 288 divisors, whose sum is σ = 4221952000. Its totient is φ = 307929600.

The previous prime is 1301042059. The next prime is 1301042107. The reversal of 1301042100 is 12401031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301042107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6537801 + ... + 6537999.

Almost surely, 2^1301042100 is an apocalyptic number.

1301042100 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 1301042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110976000).

1301042100 is an abundant number, since it is smaller than the sum of its proper divisors (2920909900).

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

1301042100 is a wasteful number, since it uses less digits than its factorization.

1301042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1301042100 is about 36069.9611865608. The cubic root of 1301042100 is about 1091.6844309471.

1301042100 divided by its sum of digits (12) gives a triangular number (108420175 = T₁₄₇₂₅).

Adding to 1301042100 its reverse (12401031), we get a palindrome (1313443131).

The spelling of 1301042100 in words is "one billion, three hundred one million, forty-two thousand, one hundred".