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1313012023131 = 341719124911887
BaseRepresentation
bin10011000110110101100…
…111010111111101011011
311122112010001202201022210
4103012311213113331123
5133003022034220011
62443104524250203
7163601443023024
oct23066547277533
94575101681283
101313012023131
11466933069816
121925790a0963
1396a7cb18803
144779b763c4b
152424b44e6a6
hex131b59d7f5b

1313012023131 has 32 divisors (see below), whose sum is σ = 1797465600000. Its totient is φ = 852049336320.

The previous prime is 1313012023123. The next prime is 1313012023163. The reversal of 1313012023131 is 1313202103131.

It is a happy number.

It is not a de Polignac number, because 1313012023131 - 23 = 1313012023123 is a prime.

It is a super-2 number, since 2×13130120231312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313012023098 and 1313012023107.

It is not an unprimeable number, because it can be changed into a prime (1313012023181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110451870 + ... + 110463756.

It is an arithmetic number, because the mean of its divisors is an integer number (56170800000).

Almost surely, 21313012023131 is an apocalyptic number.

1313012023131 is a deficient number, since it is larger than the sum of its proper divisors (484453576869).

1313012023131 is a wasteful number, since it uses less digits than its factorization.

1313012023131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13899.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1313012023131 its reverse (1313202103131), we get a palindrome (2626214126262).

The spelling of 1313012023131 in words is "one trillion, three hundred thirteen billion, twelve million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 41 123 719 1249 2157 3747 11887 29479 35661 51209 88437 153627 487367 898031 1462101 2694093 8546753 14846863 25640259 36819271 44540589 110457813 350416873 608721383 1051250619 1826164149 10674894497 32024683491 437670674377 1313012023131