Search a number
-
+
1313553131 = 11210855811
BaseRepresentation
bin100111001001011…
…0011101011101011
310101112200102010222
41032102303223223
510142232200011
6334202000255
744360005652
oct11622635353
93345612128
101313553131
11614514a00
12307aa608b
1317c1a1b97
14c664c199
157a4baddb
hex4e4b3aeb

1313553131 has 6 divisors (see below), whose sum is σ = 1443822996. Its totient is φ = 1194139100.

The previous prime is 1313553107. The next prime is 1313553139.

1313553131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1313553131 - 26 = 1313553067 is a prime.

It is a super-2 number, since 2×13135531312 = 3450843655919806322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1313553131.

It is not an unprimeable number, because it can be changed into a prime (1313553139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5427785 + ... + 5428026.

It is an arithmetic number, because the mean of its divisors is an integer number (240637166).

Almost surely, 21313553131 is an apocalyptic number.

1313553131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1313553131 is a deficient number, since it is larger than the sum of its proper divisors (130269865).

1313553131 is a wasteful number, since it uses less digits than its factorization.

1313553131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10855833 (or 10855822 counting only the distinct ones).

The product of its digits is 2025, while the sum is 26.

The square root of 1313553131 is about 36242.9735397084. The cubic root of 1313553131 is about 1095.1725452470.

It can be divided in two parts, 13135 and 53131, that added together give a palindrome (66266).

The spelling of 1313553131 in words is "one billion, three hundred thirteen million, five hundred fifty-three thousand, one hundred thirty-one".

Divisors: 1 11 121 10855811 119413921 1313553131