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1300131131 = 13127811971
BaseRepresentation
bin100110101111110…
…0110110100111011
310100121102111121212
41031133212310323
510130313144011
6333002153335
744134634525
oct11537466473
93317374555
101300131131
11607987842
123034b284b
13179482880
14c4956a15
157921908b
hex4d7e6d3b

1300131131 has 16 divisors (see below), whose sum is σ = 1414361088. Its totient is φ = 1187978400.

The previous prime is 1300131127. The next prime is 1300131137. The reversal of 1300131131 is 1311310031.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1300131131 - 22 = 1300131127 is a prime.

It is a super-2 number, since 2×13001311312 = 3380681915590678322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1300131137) 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, 1338476 + ... + 1339446.

It is an arithmetic number, because the mean of its divisors is an integer number (88397568).

Almost surely, 21300131131 is an apocalyptic number.

1300131131 is a deficient number, since it is larger than the sum of its proper divisors (114229957).

1300131131 is a wasteful number, since it uses less digits than its factorization.

1300131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1300131131 is about 36057.3311685710. The cubic root of 1300131131 is about 1091.4295780940.

Adding to 1300131131 its reverse (1311310031), we get a palindrome (2611441162).

The spelling of 1300131131 in words is "one billion, three hundred million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 13 127 811 971 1651 10543 12623 102997 123317 787481 1338961 1603121 10237253 100010087 1300131131