1337032002601 has 9 divisors (see below), whose sum is σ = 1362797467941. Its totient is φ = 1311744856032.

The previous prime is 1337032002541. The next prime is 1337032002617. The reversal of 1337032002601 is 1062002307331.

The square root of 1337032002601 is 1156301.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 211692930201 + 1125339072400 = 460101^2 + 1060820^2 .

It is not a de Polignac number, because 1337032002601 - 2⁷ = 1337032002473 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1337032002601.

It is not an unprimeable number, because it can be changed into a prime (1337032002641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61273045 + ... + 61294861.

Almost surely, 2^{1337032002601} is an apocalyptic number.

1337032002601 is the 1156301-st square number.

1337032002601 is the 578151-st centered octagonal number.

It is an amenable number.

1337032002601 is a deficient number, since it is larger than the sum of its proper divisors (25765465340).

1337032002601 is an frugal number, since it uses more digits than its factorization.

1337032002601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43740 (or 21870 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 1337032002601 its reverse (1062002307331), we get a palindrome (2399034309932).

The spelling of 1337032002601 in words is "one trillion, three hundred thirty-seven billion, thirty-two million, two thousand, six hundred one".