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20311331031221 is a prime number
BaseRepresentation
bin1001001111001000110011…
…01010111100100010110101
32122220202002120201120002212
410213210121222330202311
510130240101220444341
6111110521402343205
74164305501101556
oct447443152744265
978822076646085
1020311331031221
116520a9494084a
12234057b7bab05
13b444727b1239
1450310620032d
152535271c25eb
hex127919abc8b5

20311331031221 has 2 divisors, whose sum is σ = 20311331031222. Its totient is φ = 20311331031220.

The previous prime is 20311331031217. The next prime is 20311331031247. The reversal of 20311331031221 is 12213013311302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13270640266321 + 7040690764900 = 3642889^2 + 2653430^2 .

It is a cyclic number.

It is not a de Polignac number, because 20311331031221 - 22 = 20311331031217 is a prime.

It is a super-2 number, since 2×203113310312212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20311331033221) 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 as a sum of consecutive naturals, namely, 10155665515610 + 10155665515611.

It is an arithmetic number, because the mean of its divisors is an integer number (10155665515611).

Almost surely, 220311331031221 is an apocalyptic number.

It is an amenable number.

20311331031221 is a deficient number, since it is larger than the sum of its proper divisors (1).

20311331031221 is an equidigital number, since it uses as much as digits as its factorization.

20311331031221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 20311331031221 its reverse (12213013311302), we get a palindrome (32524344342523).

The spelling of 20311331031221 in words is "twenty trillion, three hundred eleven billion, three hundred thirty-one million, thirty-one thousand, two hundred twenty-one".