1301134032 has 240 divisors, whose sum is σ = 4244460480. Its totient is φ = 367718400.

The previous prime is 1301134027. The next prime is 1301134061. The reversal of 1301134032 is 2304311031.

1301134032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1301133996 and 1301134014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5681694 + ... + 5681922.

It is an arithmetic number, because the mean of its divisors is an integer number (17685252).

Almost surely, 2^1301134032 is an apocalyptic number.

1301134032 is a gapful number since it is divisible by the number (12) 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 1301134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122230240).

1301134032 is an abundant number, since it is smaller than the sum of its proper divisors (2943326448).

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

1301134032 is a wasteful number, since it uses less digits than its factorization.

1301134032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1301134032 is about 36071.2355208413. The cubic root of 1301134032 is about 1091.7101432510.

Adding to 1301134032 its reverse (2304311031), we get a palindrome (3605445063).

The spelling of 1301134032 in words is "one billion, three hundred one million, one hundred thirty-four thousand, thirty-two".