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331031112113033 is a prime number
BaseRepresentation
bin100101101000100100010111…
…1110110001101101110001001
31121102002021011100222212110222
41023101020233312031232021
5321342103204200104113
63132013332110315425
7126504131360420243
oct11321105766155611
91542067140885428
10331031112113033
1196527562908482
12311640697b8b75
131129313b706c27
145ba5dc4247093
152840d2b452e08
hex12d122fd8db89

331031112113033 has 2 divisors, whose sum is σ = 331031112113034. Its totient is φ = 331031112113032.

The previous prime is 331031112112973. The next prime is 331031112113069. The reversal of 331031112113033 is 330311211130133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 295270197831184 + 35760914281849 = 17183428^2 + 5980043^2 .

It is a cyclic number.

It is not a de Polignac number, because 331031112113033 - 214 = 331031112096649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331031112112993 and 331031112113011.

It is not a weakly prime, because it can be changed into another prime (331031112113083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165515556056516 + 165515556056517.

It is an arithmetic number, because the mean of its divisors is an integer number (165515556056517).

Almost surely, 2331031112113033 is an apocalyptic number.

It is an amenable number.

331031112113033 is a deficient number, since it is larger than the sum of its proper divisors (1).

331031112113033 is an equidigital number, since it uses as much as digits as its factorization.

331031112113033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 331031112113033 its reverse (330311211130133), we get a palindrome (661342323243166).

The spelling of 331031112113033 in words is "three hundred thirty-one trillion, thirty-one billion, one hundred twelve million, one hundred thirteen thousand, thirty-three".