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20401401021013 is a prime number
BaseRepresentation
bin1001010001110000100100…
…10000101100001001010101
32200020100120201022010011201
410220320102100230021111
510133224032130133023
6111220135123032501
74203644510300155
oct450702220541125
980210521263151
1020401401021013
116556205016241
122355b17b0b731
13b4cac7c6a49c
1450760c51a765
15255a49776bad
hex128e1242c255

20401401021013 has 2 divisors, whose sum is σ = 20401401021014. Its totient is φ = 20401401021012.

The previous prime is 20401401020993. The next prime is 20401401021047. The reversal of 20401401021013 is 31012010410402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17780036023044 + 2621364997969 = 4216638^2 + 1619063^2 .

It is a cyclic number.

It is not a de Polignac number, because 20401401021013 - 29 = 20401401020501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20401401024013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10200700510506 + 10200700510507.

It is an arithmetic number, because the mean of its divisors is an integer number (10200700510507).

Almost surely, 220401401021013 is an apocalyptic number.

It is an amenable number.

20401401021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20401401021013 is an equidigital number, since it uses as much as digits as its factorization.

20401401021013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 20401401021013 its reverse (31012010410402), we get a palindrome (51413411431415).

The spelling of 20401401021013 in words is "twenty trillion, four hundred one billion, four hundred one million, twenty-one thousand, thirteen".