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13113233231131 = 1153149150957593
BaseRepresentation
bin1011111011010010100110…
…0110111100110100011011
31201102121112202210122221201
42332310221212330310123
53204321400201344011
643520045225415031
72522254100235565
oct276645146746433
951377482718851
1013113233231131
1141a6322330250
12157952333a477
13741759c8a727
143349807a4335
1517b18a543cc1
hexbed299bcd1b

13113233231131 has 16 divisors (see below), whose sum is σ = 14673078136800. Its totient is φ = 11617696280320.

The previous prime is 13113233231123. The next prime is 13113233231149.

It is a happy number.

13113233231131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13113233231131 - 23 = 13113233231123 is a prime.

It is a super-2 number, since 2×131132332311312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13113233231131.

It is not an unprimeable number, because it can be changed into a prime (13113233231431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75391930 + ... + 75565663.

It is an arithmetic number, because the mean of its divisors is an integer number (917067383550).

Almost surely, 213113233231131 is an apocalyptic number.

13113233231131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13113233231131 is a deficient number, since it is larger than the sum of its proper divisors (1559844905669).

13113233231131 is a wasteful number, since it uses less digits than its factorization.

13113233231131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150957806.

The product of its digits is 2916, while the sum is 28.

It can be divided in two parts, 1311323 and 3231131, that added together give a palindrome (4542454).

The spelling of 13113233231131 in words is "thirteen trillion, one hundred thirteen billion, two hundred thirty-three million, two hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 11 53 149 583 1639 7897 86867 150957593 1660533523 8000752429 22492681357 88008276719 247419494927 1192112111921 13113233231131