1201011310321 has 16 divisors (see below), whose sum is σ = 1224478342080. Its totient is φ = 1177762037760.

The previous prime is 1201011310313. The next prime is 1201011310399. The reversal of 1201011310321 is 1230131101021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1201011310321 - 2³ = 1201011310313 is a prime.

It is a super-2 number, since 2×1201011310321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1201011310295 and 1201011310304.

It is not an unprimeable number, because it can be changed into a prime (1201011310921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85286001 + ... + 85300081.

It is an arithmetic number, because the mean of its divisors is an integer number (76529896380).

Almost surely, 2^{1201011310321} is an apocalyptic number.

It is an amenable number.

1201011310321 is a deficient number, since it is larger than the sum of its proper divisors (23467031759).

1201011310321 is a wasteful number, since it uses less digits than its factorization.

1201011310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21696.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1201011310321 its reverse (1230131101021), we get a palindrome (2431142411342).

The spelling of 1201011310321 in words is "one trillion, two hundred one billion, eleven million, three hundred ten thousand, three hundred twenty-one".