22311000001301 has 16 divisors (see below), whose sum is σ = 24485873868288. Its totient is φ = 20160568162800.

The previous prime is 22311000001271. The next prime is 22311000001307. The reversal of 22311000001301 is 10310000011322.

It is a cyclic number.

It is not a de Polignac number, because 22311000001301 - 2³⁴ = 22293820132117 is a prime.

It is a super-3 number, since 3×22311000001301³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22311000001307) 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, 56387966 + ... + 56782256.

It is an arithmetic number, because the mean of its divisors is an integer number (1530367116768).

Almost surely, 2^{22311000001301} is an apocalyptic number.

It is an amenable number.

22311000001301 is a deficient number, since it is larger than the sum of its proper divisors (2174873866987).

22311000001301 is a wasteful number, since it uses less digits than its factorization.

22311000001301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425272.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 22311000001301 its reverse (10310000011322), we get a palindrome (32621000012623).

The spelling of 22311000001301 in words is "twenty-two trillion, three hundred eleven billion, one thousand, three hundred one".