1301130240 has 352 divisors, whose sum is σ = 4527636480. Its totient is φ = 317915136.

The previous prime is 1301130239. The next prime is 1301130287. The reversal of 1301130240 is 420311031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10245057 + ... + 10245183.

Almost surely, 2^1301130240 is an apocalyptic number.

1301130240 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 1301130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263818240).

1301130240 is an abundant number, since it is smaller than the sum of its proper divisors (3226506240).

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

1301130240 is a wasteful number, since it uses less digits than its factorization.

1301130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1301130240 is about 36071.1829581454. The cubic root of 1301130240 is about 1091.7090826969.

Adding to 1301130240 its reverse (420311031), we get a palindrome (1721441271).

The spelling of 1301130240 in words is "one billion, three hundred one million, one hundred thirty thousand, two hundred forty".