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1013313303031 is a prime number
BaseRepresentation
bin11101011111011100010…
…11011111000111110111
310120212112112202021220111
432233232023133013313
5113100231201144111
62053302032443451
7133131563650411
oct16575613370767
93525475667814
101013313303031
1136081aa40577
121444786a9587
137472a545443
143708a6499b1
151b55a453a21
hexebee2df1f7

1013313303031 has 2 divisors, whose sum is σ = 1013313303032. Its totient is φ = 1013313303030.

The previous prime is 1013313303029. The next prime is 1013313303047. The reversal of 1013313303031 is 1303033133101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1013313303031 - 21 = 1013313303029 is a prime.

It is a super-2 number, since 2×10133133030312 (a number of 25 digits) contains 22 as substring.

Together with 1013313303029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1013313302993 and 1013313303011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013313303091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506656651515 + 506656651516.

It is an arithmetic number, because the mean of its divisors is an integer number (506656651516).

Almost surely, 21013313303031 is an apocalyptic number.

1013313303031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013313303031 is an equidigital number, since it uses as much as digits as its factorization.

1013313303031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 1013313303031 its reverse (1303033133101), we get a palindrome (2316346436132).

The spelling of 1013313303031 in words is "one trillion, thirteen billion, three hundred thirteen million, three hundred three thousand, thirty-one".