1302232332133 has 48 divisors (see below), whose sum is σ = 1397125403856. Its totient is φ = 1213132677120.

The previous prime is 1302232332097. The next prime is 1302232332139. The reversal of 1302232332133 is 3312332322031.

It can be written as a sum of positive squares in 24 ways, for example, as 680331331684 + 621901000449 = 824822^2 + 788607^2 .

It is not a de Polignac number, because 1302232332133 - 2¹³ = 1302232323941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302232332139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747978643 + ... + 747980383.

It is an arithmetic number, because the mean of its divisors is an integer number (29106779247).

Almost surely, 2^{1302232332133} is an apocalyptic number.

It is an amenable number.

1302232332133 is a deficient number, since it is larger than the sum of its proper divisors (94893071723).

1302232332133 is a wasteful number, since it uses less digits than its factorization.

1302232332133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 1302232332133 its reverse (3312332322031), we get a palindrome (4614564654164).

The spelling of 1302232332133 in words is "one trillion, three hundred two billion, two hundred thirty-two million, three hundred thirty-two thousand, one hundred thirty-three".