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13131041110113 = 373206343916619
BaseRepresentation
bin1011111100010100111100…
…0010100111100001100001
31201111022111211110122111010
42333011033002213201201
53210114333011010423
643532152250211133
72523454303560243
oct277051702474141
951438454418433
1013131041110113
114202930421303
121580a73123aa9
13743337462024
1433578d8a0093
1517b87daec693
hexbf14f0a7861

13131041110113 has 32 divisors (see below), whose sum is σ = 17763221237760. Its totient is φ = 8626655122560.

The previous prime is 13131041110097. The next prime is 13131041110127. The reversal of 13131041110113 is 31101114013131.

13131041110113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13131041110113 - 24 = 13131041110097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13131041110113.

It is not an unprimeable number, because it can be changed into a prime (13131041110183) 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, 1983837318 + ... + 1983843936.

It is an arithmetic number, because the mean of its divisors is an integer number (555100663680).

Almost surely, 213131041110113 is an apocalyptic number.

It is an amenable number.

13131041110113 is a deficient number, since it is larger than the sum of its proper divisors (4632180127647).

13131041110113 is a wasteful number, since it uses less digits than its factorization.

13131041110113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13149.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 13131041110113 its reverse (31101114013131), we get a palindrome (44232155123244).

The spelling of 13131041110113 in words is "thirteen trillion, one hundred thirty-one billion, forty-one million, one hundred ten thousand, one hundred thirteen".

Divisors: 1 3 73 219 2063 4391 6189 6619 13173 19857 150599 320543 451797 483187 961629 1449561 9058633 13654997 27175899 29064029 40964991 87192087 661280209 996814781 1983840627 2121674117 2990444343 6365022351 59959091827 179877275481 4377013703371 13131041110113