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131221213113 = 31741235126693
BaseRepresentation
bin111101000110101100…
…1001100111110111001
3110112201000212022002010
41322031121030332321
54122220112304423
6140140542000133
712323532623304
oct1721531147671
9415630768063
10131221213113
1150717a54671
1221521876049
13c4b2bb5643
1464cb75bb3b
15363018e693
hex1e8d64cfb9

131221213113 has 32 divisors (see below), whose sum is σ = 189859686912. Its totient is φ = 80289536000.

The previous prime is 131221213111. The next prime is 131221213133. The reversal of 131221213113 is 311312122131.

It is a cyclic number.

It is not a de Polignac number, because 131221213113 - 21 = 131221213111 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131221213113.

It is not an unprimeable number, because it can be changed into a prime (131221213111) 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, 4902595 + ... + 4929287.

It is an arithmetic number, because the mean of its divisors is an integer number (5933115216).

Almost surely, 2131221213113 is an apocalyptic number.

It is an amenable number.

131221213113 is a deficient number, since it is larger than the sum of its proper divisors (58638473799).

131221213113 is a wasteful number, since it uses less digits than its factorization.

131221213113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29105.

The product of its digits is 216, while the sum is 21.

Adding to 131221213113 its reverse (311312122131), we get a palindrome (442533335244).

The spelling of 131221213113 in words is "one hundred thirty-one billion, two hundred twenty-one million, two hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 17 41 51 123 697 2091 2351 7053 26693 39967 80079 96391 119901 289173 453781 1094413 1361343 1638647 3283239 4915941 18605021 55815063 62755243 188265729 1066839131 2572964963 3200517393 7718894889 43740404371 131221213113