Search a number
-
+
131023123131333 = 3919133393562771
BaseRepresentation
bin11101110010101000110010…
…101101100010101111000101
3122011220200120201200111021110
4131302220302231202233011
5114133140324010200313
61142355105233235233
736412052063632536
oct3562506255425705
9564820521614243
10131023123131333
113882565a272a14
12128411aaa02b19
135815573292154
14244d7a55c668d
15102332ad42ec3
hex772a32b62bc5

131023123131333 has 16 divisors (see below), whose sum is σ = 174900752806400. Its totient is φ = 87247135413360.

The previous prime is 131023123131319. The next prime is 131023123131347. The reversal of 131023123131333 is 333131321320131.

It is an interprime number because it is at equal distance from previous prime (131023123131319) and next prime (131023123131347).

It is not a de Polignac number, because 131023123131333 - 24 = 131023123131317 is a prime.

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 131023123131333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023123132333) 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, 34994238 + ... + 38557008.

It is an arithmetic number, because the mean of its divisors is an integer number (10931297050400).

Almost surely, 2131023123131333 is an apocalyptic number.

It is an amenable number.

131023123131333 is a deficient number, since it is larger than the sum of its proper divisors (43877629675067).

131023123131333 is a wasteful number, since it uses less digits than its factorization.

131023123131333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577032.

The product of its (nonzero) digits is 8748, while the sum is 30.

Adding to 131023123131333 its reverse (333131321320131), we get a palindrome (464154444451464).

The spelling of 131023123131333 in words is "one hundred thirty-one trillion, twenty-three billion, one hundred twenty-three million, one hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 3 919 2757 13339 40017 3562771 10688313 12258541 36775623 3274186549 9822559647 47523802369 142571407107 43674374377111 131023123131333