1300033004001 has 64 divisors (see below), whose sum is σ = 1836777406464. Its totient is φ = 816263712000.

The previous prime is 1300033003943. The next prime is 1300033004021. The reversal of 1300033004001 is 1004003300031.

It is not a de Polignac number, because 1300033004001 - 2⁷ = 1300033003873 is a prime.

It is a super-2 number, since 2×1300033004001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1300033004021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1524071091 + ... + 1524071943.

It is an arithmetic number, because the mean of its divisors is an integer number (28699646976).

Almost surely, 2^{1300033004001} is an apocalyptic number.

It is an amenable number.

1300033004001 is a deficient number, since it is larger than the sum of its proper divisors (536744402463).

1300033004001 is a wasteful number, since it uses less digits than its factorization.

1300033004001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1300033004001 its reverse (1004003300031), we get a palindrome (2304036304032).

The spelling of 1300033004001 in words is "one trillion, three hundred billion, thirty-three million, four thousand, one".