1301023128 has 128 divisors (see below), whose sum is σ = 3456921600. Its totient is φ = 407462400.

The previous prime is 1301023123. The next prime is 1301023133. The reversal of 1301023128 is 8213201031.

It is an interprime number because it is at equal distance from previous prime (1301023123) and next prime (1301023133).

It is a super-2 number, since 2×1301023128² = 3385322359181808768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301023123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4946725 + ... + 4946987.

It is an arithmetic number, because the mean of its divisors is an integer number (27007200).

Almost surely, 2^1301023128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301023128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728460800).

1301023128 is an abundant number, since it is smaller than the sum of its proper divisors (2155898472).

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

1301023128 is a wasteful number, since it uses less digits than its factorization.

1301023128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1301023128 is about 36069.6981966858. The cubic root of 1301023128 is about 1091.6791245501.

Adding to 1301023128 its reverse (8213201031), we get a palindrome (9514224159).

The spelling of 1301023128 in words is "one billion, three hundred one million, twenty-three thousand, one hundred twenty-eight".