1301332032 has 672 divisors, whose sum is σ = 5227832064. Its totient is φ = 298598400.

The previous prime is 1301332013. The next prime is 1301332057. The reversal of 1301332032 is 2302331031.

1301332032 is a `hidden beast` number, since 1 + 301 + 332 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 1301331996 and 1301332014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21333282 + ... + 21333342.

It is an arithmetic number, because the mean of its divisors is an integer number (7779512).

Almost surely, 2^1301332032 is an apocalyptic number.

1301332032 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 1301332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613916032).

1301332032 is an abundant number, since it is smaller than the sum of its proper divisors (3926500032).

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

1301332032 is a wasteful number, since it uses less digits than its factorization.

1301332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1301332032 is about 36073.9799855796. The cubic root of 1301332032 is about 1091.7655174193.

Adding to 1301332032 its reverse (2302331031), we get a palindrome (3603663063).

It can be divided in two parts, 1301 and 332032, that added together give a palindrome (333333).

The spelling of 1301332032 in words is "one billion, three hundred one million, three hundred thirty-two thousand, thirty-two".