201001312313321 has 8 divisors (see below), whose sum is σ = 216469060606344. Its totient is φ = 185534436718080.

The previous prime is 201001312313303. The next prime is 201001312313377. The reversal of 201001312313321 is 123313213100102.

It can be written as a sum of positive squares in 4 ways, for example, as 32064642379225 + 168936669934096 = 5662565^2 + 12997564^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201001312313321 - 2³⁰ = 201000238571497 is a prime.

It is a super-5 number, since 5×201001312313321⁵ (a number of 73 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (201001312303321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217696040 + ... + 218617401.

It is an arithmetic number, because the mean of its divisors is an integer number (27058632575793).

Almost surely, 2^{201001312313321} is an apocalyptic number.

It is an amenable number.

201001312313321 is a deficient number, since it is larger than the sum of its proper divisors (15467748293023).

201001312313321 is a wasteful number, since it uses less digits than its factorization.

201001312313321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436348891.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 201001312313321 its reverse (123313213100102), we get a palindrome (324314525413423).

The spelling of 201001312313321 in words is "two hundred one trillion, one billion, three hundred twelve million, three hundred thirteen thousand, three hundred twenty-one".