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1310003200993 is a prime number
BaseRepresentation
bin10011000100000010010…
…001101000001111100001
311122020100101010201021211
4103010002101220033201
5132430341304412433
62441450202550121
7163434046324564
oct23040221501741
94566311121254
101310003200993
11465629723153
12191a79508341
13966c0665896
1447593d024db
15241222168cd
hex131024683e1

1310003200993 has 2 divisors, whose sum is σ = 1310003200994. Its totient is φ = 1310003200992.

The previous prime is 1310003200973. The next prime is 1310003201029. The reversal of 1310003200993 is 3990023000131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1274241365329 + 35761835664 = 1128823^2 + 189108^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310003200993 - 221 = 1310001103841 is a prime.

It is a super-2 number, since 2×13100032009932 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1310003200973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655001600496 + 655001600497.

It is an arithmetic number, because the mean of its divisors is an integer number (655001600497).

Almost surely, 21310003200993 is an apocalyptic number.

It is an amenable number.

1310003200993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310003200993 is an equidigital number, since it uses as much as digits as its factorization.

1310003200993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 31.

The spelling of 1310003200993 in words is "one trillion, three hundred ten billion, three million, two hundred thousand, nine hundred ninety-three".