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1101013311191 is a prime number
BaseRepresentation
bin10000000001011001100…
…000011101111011010111
310220020220111210022100212
4100001121200131323113
5121014333401424231
62201444252200035
7142355064505403
oct20013140357327
93806814708325
101101013311191
11394a34346762
1215947316901b
137ca959c61b1
143b409cbc103
151d98e91142b
hex1005981ded7

1101013311191 has 2 divisors, whose sum is σ = 1101013311192. Its totient is φ = 1101013311190.

The previous prime is 1101013311179. The next prime is 1101013311199. The reversal of 1101013311191 is 1911133101011.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1101013311191 is a prime.

It is a super-2 number, since 2×11010133111912 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101013311199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550506655595 + 550506655596.

It is an arithmetic number, because the mean of its divisors is an integer number (550506655596).

Almost surely, 21101013311191 is an apocalyptic number.

1101013311191 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101013311191 is an equidigital number, since it uses as much as digits as its factorization.

1101013311191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 1101013311191 in words is "one trillion, one hundred one billion, thirteen million, three hundred eleven thousand, one hundred ninety-one".