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100120313131 is a prime number
BaseRepresentation
bin101110100111110100…
…0101011110100101011
3100120102120000212211121
41131033220223310223
53120021300010011
6113554501440111
710143034422436
oct1351750536453
9316376025747
10100120313131
1139508341143
12174a2110037
139597716047
144bbb01c81d
15290eaa2e71
hex174fa2bd2b

100120313131 has 2 divisors, whose sum is σ = 100120313132. Its totient is φ = 100120313130.

The previous prime is 100120313123. The next prime is 100120313201. The reversal of 100120313131 is 131313021001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100120313131 - 23 = 100120313123 is a prime.

It is a super-2 number, since 2×1001203131312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100120313101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060156565 + 50060156566.

It is an arithmetic number, because the mean of its divisors is an integer number (50060156566).

Almost surely, 2100120313131 is an apocalyptic number.

100120313131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120313131 is an equidigital number, since it uses as much as digits as its factorization.

100120313131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100120313131 its reverse (131313021001), we get a palindrome (231433334132).

The spelling of 100120313131 in words is "one hundred billion, one hundred twenty million, three hundred thirteen thousand, one hundred thirty-one".