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2001313120031 is a prime number
BaseRepresentation
bin11101000111110111100…
…011101011111100011111
321002022201221201021000022
4131013313203223330133
5230242142124320111
64131220205422355
7264406255561241
oct35076743537437
97068657637008
102001313120031
1170183009a355
12283a4b86a9bb
13116952614084
146cc15028091
15370d34102db
hex1d1f78ebf1f

2001313120031 has 2 divisors, whose sum is σ = 2001313120032. Its totient is φ = 2001313120030.

The previous prime is 2001313120021. The next prime is 2001313120049. The reversal of 2001313120031 is 1300213131002.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2001313120031 is a prime.

It is a super-2 number, since 2×20013131200312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001313119991 and 2001313120009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001313120021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000656560015 + 1000656560016.

It is an arithmetic number, because the mean of its divisors is an integer number (1000656560016).

Almost surely, 22001313120031 is an apocalyptic number.

2001313120031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001313120031 is an equidigital number, since it uses as much as digits as its factorization.

2001313120031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2001313120031 its reverse (1300213131002), we get a palindrome (3301526251033).

The spelling of 2001313120031 in words is "two trillion, one billion, three hundred thirteen million, one hundred twenty thousand, thirty-one".