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1013131301 = 72132369151
BaseRepresentation
bin111100011000110…
…010100000100101
32121121101101212112
4330120302200211
54033330200201
6244310530405
734051321400
oct7430624045
92547341775
101013131301
1147a9825a6
12243366a05
13131b870a0
14987a8d37
155de270bb
hex3c632825

1013131301 has 24 divisors (see below), whose sum is σ = 1324399104. Its totient is φ = 766735200.

The previous prime is 1013131297. The next prime is 1013131307. The reversal of 1013131301 is 1031313101.

It is a happy number.

It is not a de Polignac number, because 1013131301 - 22 = 1013131297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013131307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19925 + ... + 49226.

It is an arithmetic number, because the mean of its divisors is an integer number (55183296).

Almost surely, 21013131301 is an apocalyptic number.

It is an amenable number.

1013131301 is a deficient number, since it is larger than the sum of its proper divisors (311267803).

1013131301 is a wasteful number, since it uses less digits than its factorization.

1013131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69201 (or 69194 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1013131301 is about 31829.7235457677. The cubic root of 1013131301 is about 1004.3580798823.

Adding to 1013131301 its reverse (1031313101), we get a palindrome (2044444402).

The spelling of 1013131301 in words is "one billion, thirteen million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 7 13 23 49 91 161 299 637 1127 2093 14651 69151 484057 898963 1590473 3388399 6292741 11133311 20676149 44049187 77933177 144733043 1013131301