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1310201011301 = 72132056830473
BaseRepresentation
bin10011000100001110000…
…100001101110001100101
311122020212011100112000112
4103010032010031301211
5132431242424330201
62441521550422405
7163442000562200
oct23041604156145
94566764315015
101310201011301
1146572034aa46
12191b13801a05
13967226342c0
14475b22b4937
152413478c0bb
hex1310e10dc65

1310201011301 has 12 divisors (see below), whose sum is σ = 1641350718252. Its totient is φ = 1036642557888.

The previous prime is 1310201011289. The next prime is 1310201011313. The reversal of 1310201011301 is 1031101020131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1310201011289) and next prime (1310201011313).

It can be written as a sum of positive squares in 2 ways, for example, as 902709012100 + 407491999201 = 950110^2 + 638351^2 .

It is not a de Polignac number, because 1310201011301 - 218 = 1310200749157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310201011381) 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 in 11 ways as a sum of consecutive naturals, for example, 1028414600 + ... + 1028415873.

It is an arithmetic number, because the mean of its divisors is an integer number (136779226521).

Almost surely, 21310201011301 is an apocalyptic number.

It is an amenable number.

1310201011301 is a deficient number, since it is larger than the sum of its proper divisors (331149706951).

1310201011301 is a wasteful number, since it uses less digits than its factorization.

1310201011301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056830500 (or 2056830493 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1310201011301 its reverse (1031101020131), we get a palindrome (2341302031432).

The spelling of 1310201011301 in words is "one trillion, three hundred ten billion, two hundred one million, eleven thousand, three hundred one".

Divisors: 1 7 13 49 91 637 2056830473 14397813311 26738796149 100784693177 187171573043 1310201011301