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131122221013 = 71923291478083
BaseRepresentation
bin111101000011101111…
…1100100111111010101
3110112110010120222110001
41322013133210333111
54122014242033023
6140123044131301
712321221326510
oct1720737447725
9415403528401
10131122221013
1150677091413
12214b4696b31
13c498535834
1464bc54dd77
1536266386ad
hex1e877e4fd5

131122221013 has 32 divisors (see below), whose sum is σ = 170275276800. Its totient is φ = 98333839296.

The previous prime is 131122220989. The next prime is 131122221017. The reversal of 131122221013 is 310122221131.

It is a de Polignac number, because none of the positive numbers 2k-131122221013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122221017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650331 + ... + 827752.

It is an arithmetic number, because the mean of its divisors is an integer number (5321102400).

Almost surely, 2131122221013 is an apocalyptic number.

It is an amenable number.

131122221013 is a deficient number, since it is larger than the sum of its proper divisors (39153055787).

131122221013 is a wasteful number, since it uses less digits than its factorization.

131122221013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478161.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 131122221013 its reverse (310122221131), we get a palindrome (441244442144).

The spelling of 131122221013 in words is "one hundred thirty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, thirteen".

Divisors: 1 7 19 23 29 133 161 203 437 551 667 3059 3857 4669 12673 88711 1478083 10346581 28083577 33995909 42864407 196585039 237971363 300050849 645922271 814423733 985881361 4521455897 5700966131 6901169527 18731745859 131122221013