321013201300001 has 12 divisors (see below), whose sum is σ = 380469246672852. Its totient is φ = 269962584379488.

The previous prime is 321013201299913. The next prime is 321013201300003. The reversal of 321013201300001 is 100003102310123.

It can be written as a sum of positive squares in 2 ways, for example, as 97295339545600 + 223717861754401 = 9863840^2 + 14957201^2 .

It is not a de Polignac number, because 321013201300001 - 2¹⁸ = 321013201037857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321013201300003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61804618370 + ... + 61804623563.

It is an arithmetic number, because the mean of its divisors is an integer number (31705770556071).

Almost surely, 2^{321013201300001} is an apocalyptic number.

It is an amenable number.

321013201300001 is a deficient number, since it is larger than the sum of its proper divisors (59456045372851).

321013201300001 is a wasteful number, since it uses less digits than its factorization.

321013201300001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123609242000 (or 123609241993 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 321013201300001 its reverse (100003102310123), we get a palindrome (421016303610124).

The spelling of 321013201300001 in words is "three hundred twenty-one trillion, thirteen billion, two hundred one million, three hundred thousand, one".