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2013310012037 is a prime number
BaseRepresentation
bin11101010011000010101…
…000001100101010000101
321010110201000222111222212
4131103002220030222011
5230441224330341122
64140522444433205
7265312461511622
oct35230250145205
97113630874885
102013310012037
11706927018935
12286239548805
13117b14c2b03c
146d632477349
1537586769ce2
hex1d4c2a0ca85

2013310012037 has 2 divisors, whose sum is σ = 2013310012038. Its totient is φ = 2013310012036.

The previous prime is 2013310011983. The next prime is 2013310012067. The reversal of 2013310012037 is 7302100133102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1680979668676 + 332330343361 = 1296526^2 + 576481^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013310012037 - 212 = 2013310007941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013310012067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006655006018 + 1006655006019.

It is an arithmetic number, because the mean of its divisors is an integer number (1006655006019).

Almost surely, 22013310012037 is an apocalyptic number.

It is an amenable number.

2013310012037 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013310012037 is an equidigital number, since it uses as much as digits as its factorization.

2013310012037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

Adding to 2013310012037 its reverse (7302100133102), we get a palindrome (9315410145139).

The spelling of 2013310012037 in words is "two trillion, thirteen billion, three hundred ten million, twelve thousand, thirty-seven".