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12131133241123 = 132365293621389
BaseRepresentation
bin1011000010000111111111…
…1000110011011100100011
31120221201120112101221222201
42300201333320303130203
53042224030102203443
641444544330314031
72361305535120601
oct260417770633443
946851515357881
1012131133241123
11395786a502846
12143b117b88917
1369cc652b33a0
142dd21579a871
1516085a4d434d
hexb087fe33723

12131133241123 has 16 divisors (see below), whose sum is σ = 13632540989760. Its totient is φ = 10710919638144.

The previous prime is 12131133241109. The next prime is 12131133241277. The reversal of 12131133241123 is 32114233113121.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12131133241123 is a prime.

It is a super-2 number, since 2×121311332411232 (a number of 27 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 = 12131133241091 and 12131133241100.

It is not an unprimeable number, because it can be changed into a prime (12131133241523) 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, 19211913 + ... + 19833301.

It is an arithmetic number, because the mean of its divisors is an integer number (852033811860).

Almost surely, 212131133241123 is an apocalyptic number.

12131133241123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12131133241123 is a deficient number, since it is larger than the sum of its proper divisors (1501407748637).

12131133241123 is a wasteful number, since it uses less digits than its factorization.

12131133241123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686718.

The product of its digits is 2592, while the sum is 28.

Adding to 12131133241123 its reverse (32114233113121), we get a palindrome (44245366354244).

The spelling of 12131133241123 in words is "twelve trillion, one hundred thirty-one billion, one hundred thirty-three million, two hundred forty-one thousand, one hundred twenty-three".

Divisors: 1 13 23 299 65293 621389 848809 1501739 8078057 14291947 19522607 185795311 40572351977 527440575701 933164095471 12131133241123