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21313232132081 is a prime number
BaseRepresentation
bin1001101100010010111111…
…01000010101011111110001
32210110112011210101220200212
410312021133220111133301
510243143444411211311
6113155055204153505
74326554521663661
oct466113750253761
983415153356625
1021313232132081
1168779889a397a
122482792398895
13bb7aa18a7716
145397ccd1a1a1
1526e6157b2c8b
hex13625fa157f1

21313232132081 has 2 divisors, whose sum is σ = 21313232132082. Its totient is φ = 21313232132080.

The previous prime is 21313232132069. The next prime is 21313232132107. The reversal of 21313232132081 is 18023123231312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20488070640625 + 825161491456 = 4526375^2 + 908384^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21313232132081 is a prime.

It is a super-2 number, since 2×213132321320812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21313232132051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10656616066040 + 10656616066041.

It is an arithmetic number, because the mean of its divisors is an integer number (10656616066041).

Almost surely, 221313232132081 is an apocalyptic number.

It is an amenable number.

21313232132081 is a deficient number, since it is larger than the sum of its proper divisors (1).

21313232132081 is an equidigital number, since it uses as much as digits as its factorization.

21313232132081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 21313232132081 its reverse (18023123231312), we get a palindrome (39336355363393).

The spelling of 21313232132081 in words is "twenty-one trillion, three hundred thirteen billion, two hundred thirty-two million, one hundred thirty-two thousand, eighty-one".