Search a number
-
+
133037776513 is a prime number
BaseRepresentation
bin111101111100110101…
…0110101111010000001
3110201101122001021121001
41323321222311322001
54134430132322023
6141041113132001
712416541304435
oct1737152657201
9421348037531
10133037776513
115146a3a1634
122194a0ba001
13c712354825
146620b069c5
1536d98ba6ad
hex1ef9ab5e81

133037776513 has 2 divisors, whose sum is σ = 133037776514. Its totient is φ = 133037776512.

The previous prime is 133037776507. The next prime is 133037776589. The reversal of 133037776513 is 315677730331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132487264144 + 550512369 = 363988^2 + 23463^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133037776513 is a prime.

It is not a weakly prime, because it can be changed into another prime (133037777513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66518888256 + 66518888257.

It is an arithmetic number, because the mean of its divisors is an integer number (66518888257).

Almost surely, 2133037776513 is an apocalyptic number.

It is an amenable number.

133037776513 is a deficient number, since it is larger than the sum of its proper divisors (1).

133037776513 is an equidigital number, since it uses as much as digits as its factorization.

133037776513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 833490, while the sum is 46.

The spelling of 133037776513 in words is "one hundred thirty-three billion, thirty-seven million, seven hundred seventy-six thousand, five hundred thirteen".