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313213000103021 is a prime number
BaseRepresentation
bin100011100110111011001010…
…1100111000011010001101101
31112001222212111111201110102002
41013031312111213003101231
5312023140211011244041
63030052022120142045
7122654615061322454
oct10715662547032155
91461885444643362
10313213000103021
1190887984126207
122b166940007925
131059cb227b8c45
14574b8392d3b9b
1526325c78dc59b
hex11cdd959c346d

313213000103021 has 2 divisors, whose sum is σ = 313213000103022. Its totient is φ = 313213000103020.

The previous prime is 313213000102993. The next prime is 313213000103077. The reversal of 313213000103021 is 120301000312313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310119320142025 + 3093679960996 = 17610205^2 + 1758886^2 .

It is a cyclic number.

It is not a de Polignac number, because 313213000103021 - 26 = 313213000102957 is a prime.

It is a super-2 number, since 2×3132130001030212 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313213000102984 and 313213000103002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313213000103321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156606500051510 + 156606500051511.

It is an arithmetic number, because the mean of its divisors is an integer number (156606500051511).

Almost surely, 2313213000103021 is an apocalyptic number.

It is an amenable number.

313213000103021 is a deficient number, since it is larger than the sum of its proper divisors (1).

313213000103021 is an equidigital number, since it uses as much as digits as its factorization.

313213000103021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 313213000103021 its reverse (120301000312313), we get a palindrome (433514000415334).

The spelling of 313213000103021 in words is "three hundred thirteen trillion, two hundred thirteen billion, one hundred three thousand, twenty-one".