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1331031132037 is a prime number
BaseRepresentation
bin10011010111100111101…
…000110100011110000101
311201020121211220021211201
4103113213220310132011
5133301422432211122
62455244532302501
7165110122643155
oct23274750643605
94636554807751
101331031132037
1147353a412a62
12195b67771a31
1398691ca9a29
14485ca926765
152495332ea27
hex135e7a34785

1331031132037 has 2 divisors, whose sum is σ = 1331031132038. Its totient is φ = 1331031132036.

The previous prime is 1331031132019. The next prime is 1331031132043. The reversal of 1331031132037 is 7302311301331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1032512047876 + 298519084161 = 1016126^2 + 546369^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331031132037 is a prime.

It is a super-3 number, since 3×13310311320373 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331031131996 and 1331031132014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331031132007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665515566018 + 665515566019.

It is an arithmetic number, because the mean of its divisors is an integer number (665515566019).

Almost surely, 21331031132037 is an apocalyptic number.

It is an amenable number.

1331031132037 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331031132037 is an equidigital number, since it uses as much as digits as its factorization.

1331031132037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 28.

Adding to 1331031132037 its reverse (7302311301331), we get a palindrome (8633342433368).

The spelling of 1331031132037 in words is "one trillion, three hundred thirty-one billion, thirty-one million, one hundred thirty-two thousand, thirty-seven".