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313010032113131 = 31113238273750151
BaseRepresentation
bin100011100101011100101001…
…1110001100111010111101011
31112001021110121022122021012012
41013022321103301213113223
5312011324021210110011
63025414453523510135
7122634141251012633
oct10712712361472753
91461243538567165
10313010032113131
1190809899a78301
122b13353652834b
1310586947612442
145741aa2d7d6c3
15262c198ae8a8b
hex11cae53c675eb

313010032113131 has 16 divisors (see below), whose sum is σ = 325980252530688. Its totient is φ = 300219608304000.

The previous prime is 313010032113073. The next prime is 313010032113199. The reversal of 313010032113131 is 131311230010313.

It is a cyclic number.

It is not a de Polignac number, because 313010032113131 - 218 = 313010031850987 is a prime.

It is a super-2 number, since 2×3130100321131312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313010032113097 and 313010032113106.

It is not an unprimeable number, because it can be changed into a prime (313010032113731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81590906 + ... + 85341056.

It is an arithmetic number, because the mean of its divisors is an integer number (20373765783168).

Almost surely, 2313010032113131 is an apocalyptic number.

313010032113131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

313010032113131 is a deficient number, since it is larger than the sum of its proper divisors (12970220417557).

313010032113131 is a wasteful number, since it uses less digits than its factorization.

313010032113131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774122.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 313010032113131 its reverse (131311230010313), we get a palindrome (444321262123444).

The spelling of 313010032113131 in words is "three hundred thirteen trillion, ten billion, thirty-two million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 31 113 3503 23827 738637 2692451 3750151 83465981 116254681 423767063 13136778953 89354847877 2770000284187 10097097810101 313010032113131